## Functions and Change: A Modeling Approach to College Algebra

### Bruce Crauder; Benny Evans; Alan Noell

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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 author's 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.

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About the Author:

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.

Review:

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.

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