Higher Education

Functions and Change: A Modeling Approach to College Algebra, 5th Edition

  • Bruce Crauder Oklahoma State University
  • Benny Evans Oklahoma State University
  • Alan Noell Oklahoma State University
  • ISBN-10: 1133365558  |  ISBN-13: 9781133365556
  • 560 Pages
  • Previous Editions: 2010, 2007, 2003
  • © 2014 | Published
  • College Bookstore Wholesale Price = $220.50
  • Newer Edition Available
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About

Overview

FUNCTIONS AND CHANGE: A MODELING APPROACH TO COLLEGE ALGEBRA, Fifth Edition is optimal for both non-traditional and terminal students taking college algebra and those who may continue onto calculus. The authors' incorporate graphing utilities, functions, modeling, real data, applications and projects to develop skills, giving students the practice they need to not only master basic mathematics but apply it in future courses and careers. With a streamlined presentation, fresh design and added features such as "Test Your Understanding", the fifth edition reinforces the authors' focus on connecting math in the real world with added applications in business and social sciences, promotes mastery of the material and fosters critical thinking. Enhanced WebAssign now features increased exercise coverage, personalized study plans, lecture videos and more that make it easier to get started with online homework. Available with InfoTrac® Student Collections http://gocengage.com/infotrac.

Features and Benefits

  • Informal approach offers clear explanations that leave out unnecessary technicalities so that students who are not comfortable with algebra will easily understand the concepts.
  • Integrated graphing calculator technology helps students understand abstract concepts as a descriptive and problem-solving tool.
  • "Rule of Four"—graphically, numerically, symbolically, and verbally introduces functions.
  • 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 to students.
  • Chapter Review Exercises help students build their skills to remember key concepts from the chapter.

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.
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: 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. 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.1 Order of Operations.
A.2 Definition of a Function.
A.3 Geometric Constructions.
A.4 Inverse Function.
A.5: Solving Equations by Factoring.
A.6 Equations of Lines.
A.7 Elementary Properties of Exponents.
A.8 Quadratic Functions and Complex Numbers.
BRIEF ANSWERS TO SELECTED EXERCISES.

What's New

  • Fresh design with additional color and photographs enhances the clarity and appeal of the exposition.
  • Streamlined and updated layout allows for a greater focus on the topics and presentations that work so well in the classroom.
  • Up-to-the-minute real-data invigorates the exercise sets and connects to the real-world.
  • New! Test Your Understanding feature follows examples in the text and challenges students to solve similar problems. Answers are provided to reinforce correct work.
  • New! Solving Inequalities section in Chapter 2 expands upon the fundamental ideas of solving equations by the method of crossing graphs.
  • New! Constant Percentage Change section in Chapter 4 allows for additional discussion and for students to master its importance in applications of exponential functions.
  • Additional business and social sciences applications strengthen the authors' commitment to showing students the importance of mathematics in the world around them.
  • Trimmed Algebraic Look sections are either grouped together at the end of chapters or placed in the appendix. Teachers may decide which of these materials they wish to use.
  • Reorganized Skill exercises are now located at the end of the major exercises to emphasis the importance of the major exercises and the many applications they contain.
  • Revised treatment of topics eliminates the use of the logarithm in exponential regression and power regression; and quadratics, higher-degree polynomials, and rational functions is now in one section.
  • InfoTrac® Student Collections are specialized databases expertly drawn from the Gale Academic One library. Each InfoTrac® Student Collection enhances the student learning experience in the specific course area related to the product. These specialized databases allow access to hundreds of scholarly and popular publications - all reliable sources - including journals, encyclopedias, and academic reports. Learn more and access at: http://gocengage.com/infotrac.

Learning Resource Bundles

Choose the textbook packaged with the resources that best meet your course and student needs. Contact your Learning Consultant for more information.

Bundle: Text + Enhanced WebAssign with eBook LOE Printed Access Card for One-Term Math and Science

ISBN-10: 1285473221  | ISBN-13: 9781285473222

List Price = $299.95  | College Bookstore Wholesale Price = $225.50

This Bundle Includes:

  • Functions and Change: A Modeling Approach to College Algebra
    List Price = $292.95  | CengageBrain Price = $292.95  | College Bookstore Wholesale Price = $220.50
  • Enhanced WebAssign Printed Access Card for Pre-Calculus & College Algebra, Single-Term Courses
    List Price = $94.00  | College Bookstore Wholesale Price = $70.50


ePack: Text + Enhanced WebAssign with eBook LOE Instant Access Code for One-Term Math and Science

ISBN-10:  1285715799 | ISBN-13:  9781285715797

List Price = $299.95  | CengageBrain Price = $299.95  | College Bookstore Wholesale Price = $225.50

This Bundle Includes:

  • Functions and Change: A Modeling Approach to College Algebra
    List Price = $292.95  | CengageBrain Price = $292.95  | College Bookstore Wholesale Price = $220.50
  • Enhanced WebAssign Instant Access for Pre-Calculus & College Algebra, Single-Term Courses
    List Price = $94.00  | CengageBrain Price = $94.00  | College Bookstore Wholesale Price = $94.00


Supplements

All supplements have been updated in coordination with the main title. Select the main title's "About" tab, then select "What's New" for updates specific to title's edition.

For more information about these supplements, or to obtain them, contact your Learning Consultant.

Instructor Supplements

Instructor's Guide  (ISBN-10: 1285052323 | ISBN-13: 9781285052328)

Test Bank  (ISBN-10: 1133954995 | ISBN-13: 9781133954996)

PowerLecture with ExamView®  (ISBN-10: 1133365566 | ISBN-13: 9781133365563)

Student Solutions Manual  (ISBN-10: 1133365582 | ISBN-13: 9781133365587)

Prepare for exams and succeed in your mathematics course with this comprehensive solutions manual! Featuring worked out-solutions to the problems in INTRODUCTION, 9th Edition, this manual shows you how to approach and solve problems using the same step-by-step explanations found in your textbook examples.

List Price = $95.95  | CengageBrain Price = $95.95  | College Bookstore Wholesale Price = $72.00

Enhanced WebAssign Instant Access for Pre-Calculus & College Algebra, Single-Term Courses  (ISBN-10: 128585831X | ISBN-13: 9781285858319)

IMPORTANT: When purchasing this instant access code for Pre-Calculus & College Algebra, ensure that you are using it in one of the following courses: College Algebra, Trigonometry, Algebra and Trigonometry or Precalculus. Use with a different course may cause complications with access. Exclusively from Cengage Learning, Enhanced WebAssign combines exceptional mathematics content with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content, and an interactive, fully customizable eBook, Cengage YouBook helping students to develop a deeper conceptual understanding of their subject matter. This access code includes access to Enhanced WebAssign and life-of-edition access to the eBook for the registered edition of that text. If your students need to retake the course and you are using the same book AND edition then they will not need to buy a new code. This instant access code will be delivered via email when purchased. If you are not certain this is the correct access code for your course, please contact your Cengage Learning Consultant.

List Price = $94.00  | CengageBrain Price = $94.00  | College Bookstore Wholesale Price = $94.00

Student Supplements

Solution Builder  (ISBN-10: 1133726372 | ISBN-13: 9781133726371)

List Price = $117.95  | College Bookstore Wholesale Price = $86.75

Student Solutions Manual  (ISBN-10: 1133365582 | ISBN-13: 9781133365587)

Prepare for exams and succeed in your mathematics course with this comprehensive solutions manual! Featuring worked out-solutions to the problems in INTRODUCTION, 9th Edition, this manual shows you how to approach and solve problems using the same step-by-step explanations found in your textbook examples.

List Price = $95.95  | CengageBrain Price = $95.95  | College Bookstore Wholesale Price = $72.00

Enhanced WebAssign Instant Access for Pre-Calculus & College Algebra, Single-Term Courses  (ISBN-10: 128585831X | ISBN-13: 9781285858319)

IMPORTANT: When purchasing this instant access code for Pre-Calculus & College Algebra, ensure that you are using it in one of the following courses: College Algebra, Trigonometry, Algebra and Trigonometry or Precalculus. Use with a different course may cause complications with access. Exclusively from Cengage Learning, Enhanced WebAssign combines exceptional mathematics content with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content, and an interactive, fully customizable eBook, Cengage YouBook helping students to develop a deeper conceptual understanding of their subject matter. This access code includes access to Enhanced WebAssign and life-of-edition access to the eBook for the registered edition of that text. If you need to retake the course and your instructor is using the same book AND edition then you will not need to buy a new code. This instant access code will be delivered via email when purchased. If you are not certain this is the correct access code for your course, please contact your instructor.

List Price = $94.00  | CengageBrain Price = $94.00  | College Bookstore Wholesale Price = $94.00

Meet the Author

Author Bio

Bruce Crauder

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

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

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.