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Functions and Change: A Modeling Approach to College Algebra 6th Edition

Bruce Crauder | Benny Evans | Alan Noell

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Overview

FUNCTIONS AND CHANGE: A MODELING APPROACH TO COLLEGE ALGEBRA is ideal for all students who take college algebra, whether or not they'll continue on to calculus. Graphing utilities, functions, modeling, real data, applications, and projects develop students' skills and give them the practice they need to master basic mathematics and apply it in future courses and careers. With new material on quadratic functions, additional emphasis on business applications, and new Excel® activities, the sixth edition reinforces the authors' focus on connecting math in the real world, promotes mastery of the material, and fosters critical thinking. Also available: WebAssign, the powerful online homework and course management system that engages students in learning math.

Bruce Crauder, Oklahoma State University

Bruce Crauder received his Ph.D. from Columbia University in 1981, after which he spent a post-doctoral year at the Institute for Advanced Studies. Since then, he has held positions at the University of Utah, University of Pennsylvania, University of North Carolina, Colorado State University, and is now at Oklahoma State University as a Professor of Mathematics. Crauder has held NSF research grants in algebraic geometry and has worked with several NSF grants for mathematics curricular reform and development with Benny Evans and Alan Noell. He is currently the Associate Dean for Instruction of the College of Arts & Sciences at Oklahoma State.

Benny Evans, Oklahoma State University

Benny Evans received his Ph.D. in Mathematics from the University of Michigan in 1971. After a year at the Institute for Advanced Study he came to Oklahoma State University where he has served as Undergraduate Director, Associate Head, and Head. He has been the recipient of both public and private grants in the areas of topology and mathematics education. He has held visiting appointments at Rice University, Texas A&M University, and University of Nevada, Reno, and is currently Professor Emeritus at Oklahoma State University.

Alan Noell, Oklahoma State University

Alan Noell received his Ph.D. in Mathematics from Princeton University in 1983 and had a two-year postdoctoral position at Caltech. His scholarly activities include complex analysis and curriculum development. He has been a Co-Principal Investigator on grants funded by the National Science Foundation. He has served as Undergraduate Director and Graduate Director in the Department of Mathematics at Oklahoma State University, where he is currently an Associate Head and Professor of Mathematics.

WebAssign is a flexible and fully customizable online instructional solution that puts powerful tools in the hands of teachers, enabling you to realize your teaching goals and instantly assess individual student performance to help students learn math, not just do online homework.

  • The Solving Inequalities section in Chapter 2 expands upon the fundamental ideas of solving equations by the method of crossing graphs. This avoids common errors and is applicable to inequalities to which techniques of algebra do not apply.
  • The Constant Percentage Change section in Chapter 4 allows for additional discussion and for students to master its importance in applications of exponential functions.
  • Trimmed Algebraic Look sections are either grouped together at the end of chapters or placed in the appendix, giving instructors the flexibility to decide which of these materials they wish to use.
  • Reorganized Skill exercises are now located at the end of the major exercises to emphasize the importance of the major exercises and the many applications they contain.
  • The "Rule of Four"—graphically, numerically, symbolically, and verbally—introduces functions. Thus, students grasp the connection between answer types and thus develop a better understanding of the concept addressed.
  • Diverse Modeling/Real-Life Applications and Data reveal mathematics as an integral part of nature, science, and society. This real-world context allows students to check their answers against their own intuition and common sense while also making the topic more relevant and interesting.
  • Chapter Review Exercises help students build their skills to remember key concepts from the chapter.
  • An informal approach offers clear explanations that leave out unnecessary technicalities so that students who are not comfortable with algebra will easily understand the concepts.
  • ENHANCED WEBASSIGN: FUNCTIONS AND CHANGE: A MODELING APPROACH TO COLLEGE ALGEBRA, Sixth Edition, is fully supported by Enhanced WebAssign (EWA), the powerful online homework and course management system that engages students in learning the math. EWA includes new end-of-chapter exercises and pre-built assignments vetted by trusted subject matter experts along with robust course, section, assignment, and question settings and online testing to help instructors foster a deeper understanding of course concepts.
  • Integrated graphing calculator technology helps students understand abstract concepts as a descriptive and problem-solving tool.
  • Test Your Understanding feature follows examples in the text and challenges students to solve similar problems. Answers are provided to reinforce correct work.

Functions and Change: A Modeling Approach to College Algebra

TABLE OF CONTENTS

Prologue: Calculator Arithmetic.
Summary. Chapter Review Exercises.
1. FUNCTIONS.
Functions Given by Formulas. Functions Given by Tables. Functions Given by Graphs. Functions Given by Words. Summary. Chapter Review Exercises. A Further Look: Average Rates of Change with Formulas. A Further Look: Areas Associated with Graphs.
A Further Look: Definition of a Function.
2. GRAPHICAL AND TABULAR ANALYSIS.
Table and Trends. Graphs. Solving Linear Equations. Solving Nonlinear Equations. Inequalities. Optimization. Summary. Chapter Review Exercises. A Further Look: Limits. A Further Look: Shifting and Stretching. A Further Look: Optimizing with Parabolas.
3. STRAIGHT LINES AND LINEAR FUNCTIONS.
The Geometry of Lines. Linear Functions. Modeling Data with Linear Functions. Linear Regression. Systems of Equations. Summary. Chapter Review Exercises. A Further Look: The Correlation Coefficient. A Further Look: Parallel and Perpendicular Lines. A Further Look: Secant Lines.
4. EXPONENTIAL FUNCTIONS.
Exponential Growth and Decay. Constant Percentage Change. Modeling Exponential Data. Modeling Nearly Exponential Data. Logarithmic Functions. Summary. Chapter Review Exercises. A Further Look: Solving Exponential Equations.
5. A SURVEY OF OTHER COMMON FUNCTIONS.
Logistic Functions. Power Functions. Modeling Data with Power Functions. Combining and Decomposing Functions. Quadratic Functions. Higher-Degree Polynomials and Rational Functions. Summary. Chapter Review Exercises. A Further Look: Fitting Logistic Data using Rates of Change. A Further Look: Factoring Polynomials, Behavior at Infinity.
6. RATES OF CHANGE.
Velocity. Rates of Change for Other Functions. Estimating Rates of Change. Equations of Change: Linear and Exponential Functions. Equations of Change: Graphical Solutions. Summary. Chapter Review Exercises.
APPENDIX A.
Order of Operations. Geometric Constructions. Inverse Function. Solving Equations by Factoring. Equations of Lines. Elementary Properties of Exponents. Quadratic Functions and Complex Numbers.
APPENDIX B.
Arithmetic Operations. Tables and Graphs. Discrete Data.
APPENDIX C.
Arithmetic Operations. Tables and Graphs. Discrete Data
BRIEF ANSWERS TO SELECTED EXERCISES.
INDEX.

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Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.

FOR INSTRUCTORS

Excel® Projects

ISBN: 9781337111485
These conceptual projects are provided on Excel spreadsheets with built-in formulas that provide understanding of real-life, applied problems. Almost every section in the book has a corresponding project, and they are great for in-class use. These are accessible via the instructor companion site.

Complete Solutions Manual

ISBN: 9781337111461
Contains all worked-out solutions to the exercises and chapter tests. This is accessible via the instructor companion site.

Online Instructor's Manual

ISBN: 9781337111454
The Online Instructor's Manual contains valuable teaching tools for both new and experienced instructors. Written by the authors, the Instructor’s Guide includes teaching tips for each section of the text as well as sample syllabi that reflect the authors’ experience using the text. The guide is accessible via the instructor companion site.

Online Test Bank

ISBN: 9781337111478
Provides multiple test forms per chapter as well as final exams. The tests combine multiple-choice, free-response, and fill-in-the-blank questions for your convenience. The Test Bank is accessible via the instructor companion site.

Cengage Learning Testing, powered by Cognero Instant Access

ISBN: 9781337111799
This instant access code provides you with access to Cengage Learning Testing (CLT). CLT is a flexible online system that allows you to author, edit, and manage test bank content; create multiple test versions in an instant; and deliver tests from your LMS, your classroom, or wherever you want. This is available online via www.cengage.com/login.

Student Solutions Manual

ISBN: 9781337111409
Written by the authors, the Student Solutions Manual contains complete and carefully written solutions to every odd-numbered exercise in the text, in the same style and format as the worked examples of the text. In particular, the solutions give additional instruction to allow students to find success doing similar even-numbered exercises.

FOR STUDENTS

Student Solutions Manual

ISBN: 9781337111409
The Student Solutions Manual contains complete and carefully written solutions to every odd-numbered exercise in the text, in the same style and format as the worked examples of the text. In particular, the solutions give additional instruction to help ensure your success when doing similar even-numbered exercises.