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| piecewise functions worksheet and answers: College Algebra Jay Abramson, 2018-01-07 College Algebra provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book meets the needs of a variety of courses. College Algebra offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they've learned. Coverage and Scope In determining the concepts, skills, and topics to cover, we engaged dozens of highly experienced instructors with a range of student audiences. The resulting scope and sequence proceeds logically while allowing for a significant amount of flexibility in instruction. Chapters 1 and 2 provide both a review and foundation for study of Functions that begins in Chapter 3. The authors recognize that while some institutions may find this material a prerequisite, other institutions have told us that they have a cohort that need the prerequisite skills built into the course. Chapter 1: Prerequisites Chapter 2: Equations and Inequalities Chapters 3-6: The Algebraic Functions Chapter 3: Functions Chapter 4: Linear Functions Chapter 5: Polynomial and Rational Functions Chapter 6: Exponential and Logarithm Functions Chapters 7-9: Further Study in College Algebra Chapter 7: Systems of Equations and Inequalities Chapter 8: Analytic Geometry Chapter 9: Sequences, Probability and Counting Theory |
| piecewise functions worksheet and answers: Precalculus Jay Abramson, 2018-01-07 Precalculus is adaptable and designed to fit the needs of a variety of precalculus courses. It is a comprehensive text that covers more ground than a typical one- or two-semester college-level precalculus course. The content is organized by clearly-defined learning objectives, and includes worked examples that demonstrate problem-solving approaches in an accessible way. Coverage and Scope Precalculus contains twelve chapters, roughly divided into three groups. Chapters 1-4 discuss various types of functions, providing a foundation for the remainder of the course. Chapter 1: Functions Chapter 2: Linear Functions Chapter 3: Polynomial and Rational Functions Chapter 4: Exponential and Logarithmic Functions Chapters 5-8 focus on Trigonometry. In Precalculus, we approach trigonometry by first introducing angles and the unit circle, as opposed to the right triangle approach more commonly used in College Algebra and Trigonometry courses. Chapter 5: Trigonometric Functions Chapter 6: Periodic Functions Chapter 7: Trigonometric Identities and Equations Chapter 8: Further Applications of Trigonometry Chapters 9-12 present some advanced Precalculus topics that build on topics introduced in chapters 1-8. Most Precalculus syllabi include some of the topics in these chapters, but few include all. Instructors can select material as needed from this group of chapters, since they are not cumulative. Chapter 9: Systems of Equations and Inequalities Chapter 10: Analytic Geometry Chapter 11: Sequences, Probability and Counting Theory Chapter 12: Introduction to Calculus |
| piecewise functions worksheet and answers: Precalculus Jay P. Abramson, Valeree Falduto, Rachael Gross (Mathematics teacher), David Lippman, Melonie Rasmussen, Rick Norwood, Nicholas Belloit, Jean-Marie Magnier, Harold Whipple, Christina Fernandez, 2017 Precalculus is adaptable and designed to fit the needs of a variety of precalculus courses. It is a comprehensive text that covers more ground than a typical one- or two-semester college-level precalculus course. The content is organized by clearly-defined learning objectives and includes worked examples that demonstrate problem-solving approaches in an accessible way. |
| piecewise functions worksheet and answers: Common Core Algebra I Kirk Weiler, Garrett Matula, 2015-08-01 |
| piecewise functions worksheet and answers: Fred Astaire Joseph Epstein, 2008 Written with the wit and grace the subject deserves, Fred Astaire provides a remarkable portrait of this extraordinary artist, chronicling how he came to embody for Americans a fantasy of easy elegance and, in a more complicated manner, of democratic aristocracy. |
| piecewise functions worksheet and answers: A Tour of the Calculus David Berlinski, 2011-04-27 Were it not for the calculus, mathematicians would have no way to describe the acceleration of a motorcycle or the effect of gravity on thrown balls and distant planets, or to prove that a man could cross a room and eventually touch the opposite wall. Just how calculus makes these things possible and in doing so finds a correspondence between real numbers and the real world is the subject of this dazzling book by a writer of extraordinary clarity and stylistic brio. Even as he initiates us into the mysteries of real numbers, functions, and limits, Berlinski explores the furthest implications of his subject, revealing how the calculus reconciles the precision of numbers with the fluidity of the changing universe. An odd and tantalizing book by a writer who takes immense pleasure in this great mathematical tool, and tries to create it in others.--New York Times Book Review |
| piecewise functions worksheet and answers: Active Calculus 2018 Matthew Boelkins, 2018-08-13 Active Calculus - single variable is a free, open-source calculus text that is designed to support an active learning approach in the standard first two semesters of calculus, including approximately 200 activities and 500 exercises. In the HTML version, more than 250 of the exercises are available as interactive WeBWorK exercises; students will love that the online version even looks great on a smart phone. Each section of Active Calculus has at least 4 in-class activities to engage students in active learning. Normally, each section has a brief introduction together with a preview activity, followed by a mix of exposition and several more activities. Each section concludes with a short summary and exercises; the non-WeBWorK exercises are typically involved and challenging. More information on the goals and structure of the text can be found in the preface. |
| piecewise functions worksheet and answers: Advanced Calculus (Revised Edition) Lynn Harold Loomis, Shlomo Zvi Sternberg, 2014-02-26 An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds. |
| piecewise functions worksheet and answers: Advanced Functions 12 Wayne Erdman, Antonietta Lenjosek, Roland W. Meisel, Jacob Speijer, 2008-08-15 |
| piecewise functions worksheet and answers: Proceedings of the Seventh Annual International Conference on Technology in Collegiate Mathematics Gail Goodell, 1996 |
| piecewise functions worksheet and answers: AP® Calculus AB & BC Crash Course, 2nd Ed., Book + Online J. Rosebush, Flavia Banu, 2016-10-06 REA's Crash Course® for the AP® Calculus AB & BC Exams - Gets You a Higher Advanced Placement® Score in Less Time 2nd Edition - Updated for the 2017 Exams The REA Crash Course is the top choice for the last-minute studier, or any student who wants a quick refresher on the subject. Are you crunched for time? Have you started studying for your Advanced Placement® Calculus AB & BC exams yet? How will you memorize everything you need to know before the tests? Do you wish there was a fast and easy way to study for the exams and boost your score? If this sounds like you, don't panic. REA's Crash Course for AP® Calculus AB & BC is just what you need. Go with America’s No. 1 quick-review prep for AP® exams to get these outstanding features: Targeted, Focused Review - Study Only What You Need to Know The REA Crash Course is based on an in-depth analysis of the AP® Calculus AB & BC course description outline and actual AP® test questions. It covers only the information tested on the exams, so you can make the most of your valuable study time. Written by experienced AP® Calculus instructors, the targeted review chapters prepare students for the test by only focusing on the topics tested on the AP® Calculus AB & BC exams. Our easy-to-read format gives students a quick but strategic course in AP® Calculus AB & BC and covers functions, graphs, units, derivatives, integrals, and polynomial approximations and series. Expert Test-taking Strategies Our author shares detailed question-level strategies and explain the best way to answer AP® questions you'll find on the exams. By following this expert tips and advice, you can boost your overall point score! Take REA's Practice Exams After studying the material in the Crash Course, go to the online REA Study Center and test what you've learned. Our online practice exams (one for Calculus AB, one for Calculus BC) feature timed testing, detailed explanations of answers, and automatic scoring analysis. Each exam is balanced to include every topic and type of question found on the actual AP® exam, so you know you're studying the smart way. Whether you're cramming for the test at the last minute, looking for an extra edge, or want to study on your own in preparation for the exams - this is the quick-review study guide every AP® Calculus AB & BC student should have. When it’s crunch time and your Advanced Placement® exam is just around the corner, you need REA's Crash Course® for AP® Calculus AB & BC! About the Authors Joan Marie Rosebush teaches calculus courses at the University of Vermont. Ms. Rosebush has taught mathematics to elementary, middle school, high school, and college students. She taught AP® Calculus via satellite television to high school students scattered throughout Vermont. Ms. Rosebush earned her Bachelor of Arts degree in elementary education, with a concentration in mathematics, at the University of New York in Cortland, N.Y. She received her Master's Degree in education from Saint Michael's College, Colchester, Vermont. Flavia Banu graduated from Queens College of the City University of New York with a B.A. in Pure Mathematics and an M.A.in Pure Mathematics in 1997. Ms. Banu was an adjunct professor at Queens College where she taught Algebra and Calculus II. Currently, she teaches mathematics at Bayside High School in Bayside, New York, and coaches the math team for the school. Her favorite course to teach is AP® Calculus because it requires “the most discipline, rigor and creativity.” About Our Editor and Technical Accuracy Checker Stu Schwartz has been teaching mathematics since 1973. For 35 years he taught in the Wissahickon School District, in Ambler, Pennsylvania, specializing in AP® Calculus AB and BC and AP® Statistics. Mr. Schwartz received his B.S. degree in Mathematics from Temple University, Philadelphia. Mr. Schwartz was a 2002 recipient of the Presidential Award for Excellence in Mathematics Teaching and also won the 2007 Outstanding Educator of the Year Award for the Wissahickon School District. Mr. Schwartz’s website, www.mastermathmentor.com, is geared toward helping educators teach AP® Calculus, AP® Statistics, and other math courses. Mr. Schwartz is always looking for ways to provide teachers with new and innovative teaching materials, believing that it should be the goal of every math teacher not only to teach students mathematics, but also to find joy and beauty in math as well. |
| piecewise functions worksheet and answers: Applied Stochastic Differential Equations Simo Särkkä, Arno Solin, 2019-05-02 With this hands-on introduction readers will learn what SDEs are all about and how they should use them in practice. |
| piecewise functions worksheet and answers: Irresistible Integrals George Boros, Victor Moll, 2004-06-21 This book, first published in 2004, uses the problem of exact evaluation of definite integrals as a starting point for exploring many areas of mathematics. |
| piecewise functions worksheet and answers: Precalculus Robert F. Blitzer, 2014 Bob Blitzer has inspired thousands of students with his engaging approach to mathematics, making this beloved series the #1 in the market. Blitzer draws on his unique background in mathematics and behavioral science to present the full scope of mathematics with vivid applications in real-life situations. Students stay engaged because Blitzer often uses pop-culture and up-to-date references to connect math to students' lives, showing that their world is profoundly mathematical. |
| piecewise functions worksheet and answers: A Spiral Workbook for Discrete Mathematics Harris Kwong, 2015-11-06 A Spiral Workbook for Discrete Mathematics covers the standard topics in a sophomore-level course in discrete mathematics: logic, sets, proof techniques, basic number theory, functions,relations, and elementary combinatorics, with an emphasis on motivation. The text explains and claries the unwritten conventions in mathematics, and guides the students through a detailed discussion on how a proof is revised from its draft to a nal polished form. Hands-on exercises help students understand a concept soon after learning it. The text adopts a spiral approach: many topics are revisited multiple times, sometimes from a dierent perspective or at a higher level of complexity, in order to slowly develop the student's problem-solving and writing skills. |
| piecewise functions worksheet and answers: Algebra and Trigonometry Jay P. Abramson, Valeree Falduto, Rachael Gross (Mathematics teacher), David Lippman, Rick Norwood, Melonie Rasmussen, Nicholas Belloit, Jean-Marie Magnier, Harold Whipple, Christina Fernandez, 2015-02-13 The text is suitable for a typical introductory algebra course, and was developed to be used flexibly. While the breadth of topics may go beyond what an instructor would cover, the modular approach and the richness of content ensures that the book meets the needs of a variety of programs.--Page 1. |
| piecewise functions worksheet and answers: Partial Differential Equations Walter A. Strauss, 2007-12-21 Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics. |
| piecewise functions worksheet and answers: APEX Calculus Gregory Hartman, 2015 APEX Calculus is a calculus textbook written for traditional college/university calculus courses. It has the look and feel of the calculus book you likely use right now (Stewart, Thomas & Finney, etc.). The explanations of new concepts is clear, written for someone who does not yet know calculus. Each section ends with an exercise set with ample problems to practice & test skills (odd answers are in the back). |
| piecewise functions worksheet and answers: Convex Optimization Stephen P. Boyd, Lieven Vandenberghe, 2004-03-08 Convex optimization problems arise frequently in many different fields. This book provides a comprehensive introduction to the subject, and shows in detail how such problems can be solved numerically with great efficiency. The book begins with the basic elements of convex sets and functions, and then describes various classes of convex optimization problems. Duality and approximation techniques are then covered, as are statistical estimation techniques. Various geometrical problems are then presented, and there is detailed discussion of unconstrained and constrained minimization problems, and interior-point methods. The focus of the book is on recognizing convex optimization problems and then finding the most appropriate technique for solving them. It contains many worked examples and homework exercises and will appeal to students, researchers and practitioners in fields such as engineering, computer science, mathematics, statistics, finance and economics. |
| piecewise functions worksheet and answers: SpringBoard Mathematics , 2015 |
| piecewise functions worksheet and answers: Discrete Mathematics Oscar Levin, 2016-08-16 This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the introduction to proof course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this. Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs. The book contains over 360 exercises, including 230 with solutions and 130 more involved problems suitable for homework. There are also Investigate! activities throughout the text to support active, inquiry based learning. While there are many fine discrete math textbooks available, this text has the following advantages: It is written to be used in an inquiry rich course. It is written to be used in a course for future math teachers. It is open source, with low cost print editions and free electronic editions. |
| piecewise functions worksheet and answers: Functions, Statistics and Trigonometry , 2010 Provides a broad-based, reality-oriented, easy-to-comprehend approach to the topic. Materials are designed to take into account the wide range of backgrounds and knowledge of students. Emphasizes skill in carrying out various algorithms; developing and using mathematical properties, relationships, and proofs; applying mathematics in realistic situations; and representing concepts with graphs or other diagrams. Includes self-test exercises. |
| piecewise functions worksheet and answers: Foundations of Analysis Joseph L. Taylor, 2012 Foundations of Analysis has two main goals. The first is to develop in students the mathematical maturity and sophistication they will need as they move through the upper division curriculum. The second is to present a rigorous development of both single and several variable calculus, beginning with a study of the properties of the real number system. The presentation is both thorough and concise, with simple, straightforward explanations. The exercises differ widely in level of abstraction and level of difficulty. They vary from the simple to the quite difficult and from the computational to the theoretical. Each section contains a number of examples designed to illustrate the material in the section and to teach students how to approach the exercises for that section. --Book cover. |
| piecewise functions worksheet and answers: Functions in Mathematics Mark Daniels, Efraim P. Armendariz, 2011-06 When discussing the mathematical knowledge of elementary school teachers, the National Council of Teachers of Mathematics concludes that teachers must have a deep understanding of mathematics and be able to easily draw on that knowledge with flexibility in their teaching tasks. Mathematics teachers must understand the big ideas of mathematics and be able to represent mathematics as a coherent and connected endeavor. This inquiry and exploration-based workbook has been designed as a tool for pre-service and in-service mathematics teachers to use as a guidebook for doing mathematics and exploring mathematics topics in depth. The lessons chosen for this text serve as a function-based approach that connects important topics in the secondary mathematics curriculum and act as a bridge to university-level mathematics. Whether used as a course text or for individual professional development purposes, this book should be approached from the standpoint of discovery and reflection about the significance of the selected topics. It is the authors' hope that the explorations contained within serve as vehicles for classroom discussion and presentation of mathematics topics, or as starting points for further investigation. Efraim P. Armendariz is a professor of mathematics at the University of Texas at Austin. His mathematical interests include noncommutative ring theory, development of educational programs addressing accessibility issues, and development of secondary mathematics teachers. He received a Ph.D. in Mathematics from the University of Nebraska-Lincoln in 1966. Mark L. Daniels is a clinical associate professor of mathematics and UTeach Natural Sciences at the University of Texas at Austin. His research interests involve the preparation of pre-service teachers and the incorporation of instructional methodology in mathematics courses taken by students seeking certification. |
| piecewise functions worksheet and answers: Elementary Differential Equations with Boundary Value Problems William F. Trench, 2001 Written in a clear and accurate language that students can understand, Trench's new book minimizes the number of explicitly stated theorems and definitions. Instead, he deals with concepts in a conversational style that engages students. He includes more than 250 illustrated, worked examples for easy reading and comprehension. One of the book's many strengths is its problems, which are of consistently high quality. Trench includes a thorough treatment of boundary-value problems and partial differential equations and has organized the book to allow instructors to select the level of technology desired. This has been simplified by using symbols, C and L, to designate the level of technology. C problems call for computations and/or graphics, while L problems are laboratory exercises that require extensive use of technology. Informal advice on the use of technology is included in several sections and instructors who prefer not to emphasize technology can ignore these exercises without interrupting the flow of material. |
| piecewise functions worksheet and answers: Peterson's Master AP Calculus AB & BC W. Michael Kelley, Mark Wilding, 2007-02-12 Provides review of mathematical concepts, advice on using graphing calculators, test-taking tips, and full-length sample exams with explanatory answers. |
| piecewise functions worksheet and answers: The Complete Idiot's Guide to Algebra W. Michael Kelley, 2004 The complete hands-on, how-to guide to engineering an outstanding customer experience! Beyond Disney and Harley-Davidson - Practical, start-to-finish techniques to be used right now, whatever is sold. Leverages the latest neuroscience to help readers assess, audit, design, implement and steward any customer experience. By Lou Carbone, CEO of Experience Engineering, Inc., the world's #1 customer experience consultancy. |
| piecewise functions worksheet and answers: MATH 221 FIRST Semester Calculus Sigurd Angenent, 2014-11-26 MATH 221 FIRST Semester CalculusBy Sigurd Angenent |
| piecewise functions worksheet and answers: Glencoe Precalculus Student Edition McGraw-Hill Education, 2010-01-04 The Complete Classroom Set, Print & Digital includes: 30 print Student Editions 30 Student Learning Center subscriptions 1 print Teacher Edition 1 Teacher Lesson Center subscription |
| piecewise functions worksheet and answers: Real Analysis (Classic Version) Halsey Royden, Patrick Fitzpatrick, 2017-02-13 This text is designed for graduate-level courses in real analysis. Real Analysis, 4th Edition, covers the basic material that every graduate student should know in the classical theory of functions of a real variable, measure and integration theory, and some of the more important and elementary topics in general topology and normed linear space theory. This text assumes a general background in undergraduate mathematics and familiarity with the material covered in an undergraduate course on the fundamental concepts of analysis. |
| piecewise functions worksheet and answers: Reveal Algebra 2 MCGRAW-HILL EDUCATION., 2020 High school algebra, grades 9-12. |
| piecewise functions worksheet and answers: Calculus James Stewart, 2006-12 Stewart's CALCULUS: CONCEPTS AND CONTEXTS, 3rd Edition focuses on major concepts and supports them with precise definitions, patient explanations, and carefully graded problems. Margin notes clarify and expand on topics presented in the body of the text. The Tools for Enriching Calculus CD-ROM contains visualizations, interactive modules, and homework hints that enrich your learning experience. iLrn Homework helps you identify where you need additional help, and Personal Tutor with SMARTHINKING gives you live, one-on-one online help from an experienced calculus tutor. In addition, the Interactive Video Skillbuilder CD-ROM takes you step-by-step through examples from the book. The new Enhanced Review Edition includes new practice tests with solutions, to give you additional help with mastering the concepts needed to succeed in the course. |
| piecewise functions worksheet and answers: Planning Algorithms Steven M. LaValle, 2006-05-29 Planning algorithms are impacting technical disciplines and industries around the world, including robotics, computer-aided design, manufacturing, computer graphics, aerospace applications, drug design, and protein folding. Written for computer scientists and engineers with interests in artificial intelligence, robotics, or control theory, this is the only book on this topic that tightly integrates a vast body of literature from several fields into a coherent source for teaching and reference in a wide variety of applications. Difficult mathematical material is explained through hundreds of examples and illustrations. |
| piecewise functions worksheet and answers: Common Core Algebra II Kirk Weiler, 2016-06-01 |
| piecewise functions worksheet and answers: Financial Algebra Robert Gerver, Richard J. Sgroi, 2017-02-15 By combining algebraic and graphical approaches with practical business and personal finance applications, Financial Algebra offers an applications based learning approach incorporating Algebra I, Algebra II, and Geometry topics. Explanations and exercises encourage students to be actively involved in applying mathematical ideas to their everyday lives -- credit, banking insurance, the stock market, independent living and more. |
| piecewise functions worksheet and answers: Core Connections , 2016 |
| piecewise functions worksheet and answers: Five Times Five Is Not Ten Susan R. Greenwald, 2008 Designed for any age student, this workbook focuses on teaching children strategies to learn the multiplication facts. In addition to 148 worksheets for written practice and review, the reproducible pages include a guide to introducing the facts, record-keeping pages, answers, and a certificate. |
| piecewise functions worksheet and answers: Algebra 1 , 2014-07-22 This student-friendly, all-in-one workbook contains a place to work through Explorations as well as extra practice workskeets, a glossary, and manipulatives. The Student Journal is available in Spanish in both print and online. |
| piecewise functions worksheet and answers: Modeling, Functions, and Graphs Katherine Franklin, Katherine Yoshiwara, Irving Drooyan, 1991 While maintaining its focus on functions and graphs this book gives the adequately prepared algebra student the right start and flexible goals. |
| piecewise functions worksheet and answers: Integrated Math, Course 2, Student Edition CARTER 12, McGraw-Hill Education, 2012-03-01 Includes: Print Student Edition |
3.3 Piecewise Functions - Algebra 2
3.3 Piecewise Functions . 1. Use the piecewise function to evaluate the following. 𝑓(𝑥) = 3 𝑥−2, 𝑥< −3 2𝑥. 2. −3𝑥, −3 < 𝑥≤6 8, 1 𝑥> 6. 2. Graph the following piecewise function. 𝑓(𝑥) = − 1 3 𝑥−2, 𝑥≤0 2 𝑥+ 1, 𝑥> 0
Worksheet: Piecewise Functions
Piecewise Functions WS. Evaluate the function for the given value of x. Match the piecewise function with its graph. Carefully graph each of the following. Identify whether or not he graph is a function. Then, evaluate the graph at any specified domain value.
Worksheet Piecewise Functions
Algebra Name: Piecewise, Absolute Value, and Step Functions Review. Carefully graph each of the following. Then evaluate the function at the specific value. Write equations for the piecewise functions whose graphs are shown below. 8.
Worksheet: Piecewise Functions
Evaluate the function for the given value of x. Match the piecewise function with its graph. Write the answer next to the problem number.
For problems 1-12, evaluate the function for the given values of
a. Write a piecewise function describing your weekly pay, P in term of the number of hours worked, h. b. How much will you get paid if you work 47 hours? c. How much will you get paid if you work 30 hours?
Worksheet Piecewise Functions - MR. SOLIS' WEEBLY
Part I. Graph each piecewise function. Then, find the domain and range for each piecewise function. 2 x 1 x 1. f x x 2 3 x 1. Domain:________________. Range:_________________. f 2 x 1 x 2.
Piecewise Answers - Verona Public Schools
Piecewise Answers. Worksheet Piecewise Functions Algebra 2 Name: Part I. Carefully graph each of the following. Identify whether or not he gaph is a function. Then, evaluate the graph at any specified domain value.
Name 1.4 Piecewise F ctions Homework Date period For …
Questions 7 -8: Write a piecewise-defined function for each function shown below. x45 q. Graph the following piecewise function. 8 -10 -l -8 -6
8.13 Piecewise Functions - Allegany-Limestone High School
8.13 Piecewise Functions Name_____ ID: 1 Date_____ Period____ ©o r2[0y2R3u QKVuGtVaY ASVo[fbtyweaorrey PLALDCa.l a WA^lTlB grVi_gph\tTsP gr]eVs^eBrvvxeKdS. ... Worksheet by Kuta Software LLC-2-7) f (x) = {-2x - 2,x £ 0 x + 3,x > 0 x y-8-6-4-22468-8-6-4-2 2 4 6 8 8) f(x) = 2x + 3 if x £ 0 x2 - 5x + 3 if x > 0 x y-8-6-4-22468-8-6-4-2 2 4 6 8 9 ...
PIECEWISE FUNCTIONS - allthingsalgebra.com
Objective: To practicing graphing piecewise functions and identifying their domain and range. Only linear functions are included in this activity. For a version with linear, absolute value functions, click here.
Worksheet: Piecewise Functions - Central Bucks School District
Worksheet: Piecewise Functions Date _____ Evaluate the function for the given value of x. Match the piecewise function with its graph. Graph the function. 19. 20. 21.
3.3 Practice Piecewise Functions Name: Pre Calculus indicated F T …
Practice Piecewise Functions Name: Pre Calculus indicated F T 65 T. T O1 6 704Given the graph of , write out the function’s. equ. val. if. s. graph. 15. ) for straight lines, solute 16. y17. xyx18. yxyxTell if. 1 2.
Worksheet Piecewise Functions - Scarsdale Public Schools
Graph each of the following piecewise functions. Identify any points of discontinuity. 5 if x 2. f x x . -4 if x 2. f 2 x 1 if x 1. 2 x 3 if x 1. 2 x 4 if x.
Unit 1: Piecewise Functions - Math with Ms. Megan
Objective 2.02 Use piece-wise defined functions to model and solve problems; justify results. a) Solve using tables, graphs and algebraic properties. b) Interpret the constants, coefficients, and bases in context of the problem. Interval Notation: Parenthesis, brackets or a combination of both.
7.2B Worksheet Piecewise Functions Name: Algebra 2
Part I. Carefully graph each of the following. Identify whether or not the graph is a function. Then, evaluate the graph at any specified domain value. Function?
Piecewise Functions Worksheet - Murrieta Valley Unified School District
Write the piecewise function for the following graph. 4. Graph the function. 5. Write each absolute value function as a piecewise function: (Hint: Graph first) a) ( ) = 2| | − 1 b) ( ) = | + 3|.
Piecewise Functions - Big Ideas Learning
piecewise function is a function defi ned by two or more equations. Each “piece” of the function applies to a different part of its domain. An example is shown below. 2, if x f(x) − 0. ≤. = 2x { 1, if x > 0. +. The expression 2 represents x.
Piecewise Functions Worksheet - Mrs. Fuston's Site
Piecewise Functions Worksheet. Graphing Piecewise Functions WS. Name ______________________. Graph each of the following piecewise functions neatly and provide the requested information.
Worksheet Piecewise Functions - Central Bucks School District
Algebra 3/Trig 2.1 Graphing Linear Piecewise Functions. I. Carefully graph each of the following. Name: Date: _______________________________. 2 x + 1. f ( x ) = − x − 1. − 2.
1.6 Piecewise Functions - Manasquan Public Schools
1.6 Piecewise Functions Objective: Graph piecewise functions Write the equation of a piecewise defined graph. Ex 1: Graph. 2 4 1 ( ) 1 1 3 43 xx f x x x x x Ex 2: Graph. 2 3 0 ( ) 3 0 50 xx f x x x Key Points: y x y
Worksheet – Piecewise Functions - MR.Wu's Class Website
Which of the piecewise functions are discontinuous? \(neither continuous nor discrete\) ... h.ukFA7l BlHIraiBg ChAtos Q0r7e BsIearzv Kerd i.lJ EMXaad VemFwwiWteh EOIknkfJi Pn Si8t dexlABlsg geWbZr 9aYW2m.J Worksheet by Kuta Software LLC. 15) a 16) k 17) m 18) x 19) r 20) n 21) b 22) v 23) a 24) n 25) x ...
Piecewise Functions Worksheet - Mrs. Fuston's Site
Graphing Piecewise Functions WS Name _____ Graph each of the following piecewise functions neatly and provide the requested information. 1. ° ¯ ° ® t ... Piecewise Functions Worksheet Author: Cobb County School District Created Date: 2/10/2017 1:20:36 PM ...
24 128 16 32 408 Piecewise Functions Practice Test - I <3 Math
Piecewise Functions Practice Test 1.Determine the domain of the function shown below. Use both set notation and interval notation. ± ± ± ± ± 8 16 24 32 40 x 8 16 24 32 40 ± ± ± ± ± y 2. Find for the function defined by 3. Write an equation for the piecewise function graphed
Unit 1: Piecewise Functions - Weebly
Unit 1: Piecewise Functions Objective 2.02 Use piece-wise defined functions to model and solve problems; justify results. a) Solve using tables, graphs and algebraic properties. b) Interpret the constants, coefficients, and bases in context of the problem. DAY TOPIC ACTIVITY 1 …
1.1 Day 2 Evaluating Piecewise Functions - Deer Valley Unified …
Name: _____ Period: _____ 1.1 Day 2 Evaluating Piecewise Functions Evaluate each piecewise function for the specified values.
Evaluating and Graphing Functions - Kuta Software
Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Evaluating and Graphing Functions Name_____ Date_____ Period____-1-Evaluate each function for the given value. 1) f (x) = 4x + 2; Find f (0) 2 2) f (x) = -2x + 2; Find f (-3) 8 3) f (x) = 2x; Find f (-9 5)-18 5 4) f (x) = -3x; Find f (3 5)-9 5 5) f (x)
Piecewise Functions - Big Ideas Learning
46 Chapter 1 Linear and Absolute Value Functions GO DIGITAL SELF-ASSESSMENT 1 I do not understand. 2 I can do it with help. 3 I can do it on my own. 4 I can teach someone else. EXAMPLE 1 Evaluating a Piecewise Function Evaluate f(x) = { 3 x + 1, if x < 2 when (a) x − 5, if x ≥ 2 x = 2 and (b) x = − — 3. SOLUTION a. Because x = 2 and 2 ≥ 2, use the second equation.
Worksheet: Piecewise Functions - THE "Q"
Practicing our Piecewise (again!) Name_____ Date_____ Evaluate the function for the given value of x. Match the piecewise function with its graph. Write the answer next to the problem number. Graph the function. 19. 20. 21. WS #13
1-5 Assignment - Parent Functions and Transformations
1 Aug 2017 · ANSWERS Identify the parent function, sketch the graph, and find the domain and the range for each function. ... Graph each piecewise function. 19. !"= ... Title: Microsoft Word - 1-5 Assignment - Parent Functions and Transformations.docx Created Date: 7/23/2017 9:11:43 PM ...
Infinite Precalculus - 2.6 Special Functions - Piecewise Functions
Worksheet by Kuta Software LLC-2-Homework! Identify slope and y-intercept of each function, then graph. Keep it neat and clearly plot points!! ... Answers to 2.6 Special Functions - Piecewise Functions 1) y x y-8-6-4-22468-8-6-4-2 2 4 6 83)y -8-6-4-22468x-8-6-4-2 2 4 6 85) -8-6-4-22468x-8-6-4-2 2 4 6 8 7)y -8-6-4-22468x-8-6-4-2 2 4 6 89) y
f 3 - Mrs. Regan's Math Page
Worksheet Piecewise Functions Name: Honors Math 3 Part I. Carefully graph each of the following. Then, evaluate the graph at any specified domain value. You may use your calculators to help you graph, but you must sketch it carefully on the grid! 1. 2 5 2 2 3 2 x x f x x x x 3 4
Worksheet: Piecewise Functions - linear piecewise functions worksheet …
Linear Piecewise Functions Hour_____ Evaluate the function for the given value of x. Match the piecewise function with its graph. State if the graph is continuous or discontinuous. Graph the function. ... Worksheet: Piecewise Functions - linear piecewise functions worksheet alg 2
Piecewise Defined Functions - University of Utah
we have to describe it using a combination of equations. Such functions are called piecewise defined functions, and probably the easiest way to describe them is to look at a couple of examples. First example. The function g : R ! R is defined by g(x)= 8 >< >: x2 1if2 (1,0]; x1ifx 2 [0,4]; 3ifx 2 [4,1). The function g is a piecewise defined ...
Piecewise functions - Purdue University
On graphing piecewise functions To graph a piecewise function, it is a good idea to follow these steps. 1.Look at the inequalities rst. Draw a dotted vertical line for each of these values. 2.Marking lightly, graph all the functions which are given for f. 3.Looking back at the inequalities, darken in the functions between the vertical lines
AP Calculus AB Name: Practice Exercises Score: / 5 Points 1. 2.
piecewise function where x and y are coordinates in miles. The dashed portions show where the cubic and linear functions would go if they extended into other parts of the domain. a. The curved left branch of the graph contains the origin and has y’ = 0 at that point. At the transition point where x = 0.5, y’ = 1 so
PIECEWISE FUNCTIONS - All Things Algebra®
Objective: To practice evaluating piecewise functions, graphing piecewise function, writing a piecewise function given a graph, and identifying the domain and range of a piecewise function. This activity includes linear, quadratic, and absolute value functions. Students will generate a funny story as they move through the stations.
Unit 1: Piecewise Functions - Weebly
Unit 1: Piecewise Functions Objective 2.02 Use piece-wise defined functions to model and solve problems; justify results. a) Solve using tables, graphs and algebraic properties. b) Interpret the constants, coefficients, and bases in context of the problem. DAY TOPIC ACTIVITY 1 …
F.IF.C.7: Graphing Piecewise-Defined Functions - JMAP
Regents Exam Questions Name: _____ F.IF.C.7: Graphing Piecewise-Defined Functions www.jmap.org 2 4 On the set of axes below, graph the piecewise
Worksheet: Piecewise Functions - Scarsdale Public Schools
Worksheet: Piecewise Functions Evaluate the function for the given value of x. Match the piecewise function with its graph. 19. The admission rates at an amusement park are as follows. Children 5 years old and under: free Children between 5 years and 12 years, inclusive: $10.00 Children between 12 years and 18 years, inclusive: $25.00
1.4 piecewise functions key - MS. NIKZAD'S MATH
Homework Pre Calculus Unit 1 Piecewise functions Name . For write an equation for the piecewise graph. For #2-8, graph the piecewise functions.
Calculus 1.5 Algebraic Properties of Limits and Piecewise Functions
1.5 Algebraic Properties of Limits and Piecewise Functions: Write your questions and thoughts here! Calculus : Notes : 1.5 Algebraic Properties of Limits: Calculus : Use the table for each problem to find the given limits. 1. lim: 𝑥𝑥→3: 𝑓𝑓(𝑥𝑥) = 4 lim: 𝑥𝑥→ − 3:
Algebra 1 piecewise functions worksheet with answers
Algebra 1 piecewise functions worksheet with answers Built of pieces of different functions put together, the piecewise functions describe situations in which the function rule changes based on the input value. The formula to find the output changes as the input value reaches a mark. The functions here are represented in interval notation.
Module A Review - Piecewise, Absolute Value, and Quadratic Functions ...
Worksheet by Kuta Software LLC Algebra 2 Honors - Mr. Allen-Black Module A Review - Piecewise, Absolute Value, and Quadratic Functions ... Graph the piecewise functions: 5) f (x) = {2 3 x + 3,x < -3-x - 2,-3 £ x < 1-5,x ³ 1 x y-8-6-4-22468-8-6-4-2 2 4 6 8 ... Answers to Module A Review - Piecewise, Absolute Value, and Quadratic Functions 1) x ...
SECTION 1.5: PIECEWISE-DEFINED FUNCTIONS; LIMITS AND CONTINUITY …
(Section 1.5: Piecewise-Defined Functions; Limits and Continuity in Calculus) 1.5.4 • 2 is included in the subdomain 2,1).Therefore, the endpoint () 2,4 is included in this piece, and we plot it as a filled-in circle. ()1 2 =1, so the right endpoint of this piece is at ()1,1 . •• Why do we use the top rule, instead of the bottom rule?
201-103-RE - Calculus 1 WORKSHEET: LIMITS
Pre-Calculus Rational functions worksheet For each of the rational functions find: a. domain b. holes c. vertical asymptotes d. horizontal asymptotes e. y-intercept f. x-intercepts 1. 2 2 2 6 xx fx xx 2. 2 2 2 1 x fx x 3. 3 2 fx x 4. fx fx21x x 5. 2 2 12 9 xx fx x 6. 2 4 3 x x
Worksheet – Piecewise Functions - Scarsdale Public Schools
Worksheet – Piecewise Functions Evaluate the following for > = 2 35, 4 (),4 xx fx xx: 1. f(7) 2. f(4) 3. f(-3) Evaluate the following for + =<< 21, 1 3, 1 3 62, 3 xx fx x xx: 4. f(10) 5. f(2) 6. f(0) Graph the following piecewise functions. 7. < = 2, 0 3, 0 x fx x 8. +< = 2, 2 2, 2 xx gx xx. 9. + = > 32, 2 1 4, 2 2 xx hx xx 10. = << 2 4, 2 ...
Math 1451: Continuity with Piecewise Functions - Texas Tech …
and piecewise functions. In this worksheet, we will look specifically at piecewise functions. What questions may I be asked about continuity of piecewise functions? There are two main question types you will be asked about continuity of piecewise functions: 1.Stating values of x at which the function is not continuous.
Unit 1 Guided Notes - Miss Seitz's Online Classroom
Piecewise Functions ⃣Graph piecewise functions ⃣Write equations of piecewise functions CB 2.4 Absolute Value Functions and Step Functions ⃣Graph absolute value and step functions 2.7 Transformations of ⃣ Graphs Identify the effect on the graph of replacing f(x) by f(x) + …
Graphing Piecewise Functions - Weebly
Worksheet by Kuta Software LLC ACP Algebra II Graphing Piecewise Functions ... Graphing Piecewise Functions Name_____ ©` g2B0S1S7q ZKcuEtCae JSaoTfgtIw_afr`ex ^LCLOCI.N ` uAHlPlb irVikgshPtpsy ^rwefsWerrpveekdy.-1-Sketch the graph of each function. 1) f (x) = {-2x - …
MATH 150 { TOPIC 2 PIECEWISE-DEFINED FUNCTIONS I.
Math 150 T2-Piecewise-De ned Functions Review Page 1 MATH 150 { TOPIC 2 PIECEWISE-DEFINED FUNCTIONS I. Absolute Value Functions II. Piecewise Functions Practice Problems. ... =j2x+3j Answers 2.2. Let a function be ‘de ned’ as follows f(x)= 8 >< >:
Pre-AP Algebra 2 Name Lesson 1-7 Graphing Absolute Value Functions
Lesson 1-7 – Translating Absolute Value Functions Discovery Worksheet (with answers) Name Date Graphing Absolute Value Functions Graph the following piecewise function by hand: (1) 0 0 x if x fx x if x (2) On your graphing calculator graph the function f(x) x with this WINDOW and answer the following questions.
Piecewise Functions Key - Ms. Gialenios
Worksheet Piecewise Functions AMDM Classwork Carefully graph each of the following. graph at any specified domain value. it carefully on the grid! -21-1 Name: Identify whether or not he graph is a function. Then, evaluate the YOU may use your calculators to help you graph, but you must sketch -213)-1 -21-2)
Functions
Functions Videos 369, 370 on Corbettmaths Question 1: Given Work out the values of (a) (b) (c) (d) Question 2: Given Work out the values of
Drawing Pictures with Piecewise Functions - Burge's Math Class
Drawing Pictures with Piecewise Functions Name_____ The following 38 functions will create a drawing of a popular, loved (or hated) cartoon character. The order in which you graph these do not matter, but you may find it easier to go in order. Different types of notations may be used throughout this activity. 1.
1.3 Piecewise Functions Answer Key - Amphitheater Public Schools
Title: 1.3 Piecewise Functions Answer Key Author: kspencer Created Date: 8/17/2017 12:09:36 PM
201-103-RE - Calculus 1 WORKSHEET: LIMITS
Pre-Calculus Rational functions worksheet For each of the rational functions find: a. domain b. holes c. vertical asymptotes d. horizontal asymptotes e. y-intercept f. x-intercepts 1. 2 2 2 6 xx fx xx 2. 2 2 2 1 x fx x 3. 3 2 fx x 4. fx fx21x x 5. 2 2 12 9 xx fx x 6. 2 4 3 x x
Infinite Precalculus - 2.6 Piecewise Functions Day 2 - MR. DER …
Worksheet by Kuta Software LLC Algebra 2/2 AB 2.6 Piecewise Functions Day 2 Name_____ Date_____ Period____ ©_ D2D0D1C9` GKjuTtOaQ uSOoQfqtfwSa_r^eW tLlLqCZ.T l FAPlDlE KrCiIgIh\tIsH brAeismeSrovferdx.-1- Sketch the graph of each function. 1) g ... 2.6 Piecewise Functions Day 2
Definite Integrals with Piecewise Functions - TSFX
Definite Integrals with Piecewise Functions Evaluate each definite integral. Each function, f(x), is defined as a piecewise function, so you will need to ... Z BAUlil P 9rni 5ggh ptrs F Ar YeNsXeUrav geId3. 1 c rMRa9d4eS NwZi jt Chb hIEn Bfgiqn dibt9e Y pCva7lFc QuNlluvs w.p-3-Worksheet by Kuta Software LLC Answers to Definite Integrals with ...
4. 4 graphing piecewise functions worksheet answers - Weebly
4. 4 graphing piecewise functions worksheet answers Algebra 2 Chart Worksheet Functions Piecewise – This is actually frustrating whenever your children ask you to act on helping this algebra of accommodation, as well as you are able to do this house acts, or you learn about them where you have not finished algebra in your high school days.
PIECEWISE FUNCTIONS - allthingsalgebra.com
Objective: To practice evaluating piecewise functions, graphing piecewise function, writing a piecewise function given a graph, and identifying the domain and range of a piecewise ... recording their work on their recording worksheet. They look for their answer and record the piece to the story on the math lib. When the timer goes off, they ...
Finding domain and range of piecewise functions worksheet with answers
Finding domain and range of piecewise functions worksheet with answers In this section, you will: Find the domain of a function defined by an equation. Graph piecewise-defined functions. If you’re in the mood for a scary movie, you may want to check out one of the five most popular horror movies of all time—I am Legend, Hannibal, The Ring ...
Evaluating Limits Date Period - Kuta Software
piecewise function where the limit does not exist. Many answers. Ex: lim x →1 f (x), f (x) = {0, x < 1 x, x ≥ 1 14) Given an example of a two-sided limit of a function with an absolute value where the limit does not exist. Many answers. Ex: lim x 0 x x-2-Create your own worksheets like this one with Infinite Calculus. Free trial available ...
Even and Odd Functions - Metropolitan Community College
Even and Odd Functions A Function can be classified as Even, Odd or Neither. This classification can be determined graphically or algebraically. ... Answers: Section A (Graphs) Section B (Algebra) 1. Odd 1. Neither 2. Neither 2. Even 3. Even 3. Odd 4. Neither 5. Even 6. Neither 7. Even 8. Even 9. Odd 10. ...
3.3 Application and Extension - PreCalculus
1. Change the following absolute value function into a piecewise function by following the steps. a) Graph B : T ;2| T E1|2 b) Change the “absolute value” symbols to parentheses, and simplify the function This is the “positive slope” side of the function.
Worksheet Piecewise Functions - MR. SOLIS' WEEBLY
AFM Piecewise Functions Name: Part I. Graph each piecewise function. Then, find the domain and range for each piecewise function. 1. fx 2 2 1 1 3 1 xx xx ° t ® °¯ Domain:_____ ... Worksheet Piecewise Functions Author: Shai McGowan Created Date: 2/4/2014 5:47:53 PM ...
Piecewise Functions - Houston Independent School District
Piecewise Functions Updated: 05/15/10 Objectives: Students will review linear functions and their properties and be introduced to piecewise functions. Connections to Previous Learning: ... Answers: 1. distance is a function of time 2. Distance in miles . 1. 3. Between 0 and 2 hours because that is where the line is the steepest which says that ...
APPC 1.13 solutions - Pre-Calculus
Use the graph of the piecewise function to answer the questions in context. 7. Generic Strawberry Fields allows customers to pay $5 to pick strawberries plus 50 cents for every pint or partial pint of strawberries that they pick. There is a limit of 8 pints per customer. The piecewise function f shown below models the price of strawberries ...
Transforming Functions Worksheet - Tripod
Transforming Functions Worksheet Summary of Transformations Transformation Appearance in Function Transformation of Point Vertical Translation f(x) f(x) + d (x,y) (x,y+d) ... Write the equation of the following functions, given the original function and the transformations performed. a. …
