Functions and Change : A Modeling Approach to College Algebra by Benny Evans, Bruce Crauder and Alan Noell (2013, Hardcover)

Brooks/Cole

1133365558

9781133365556

117166881

Benny Evans, Alan Noell, Bruce Crauder

Functions and Change : a Modeling Approach to College Algebra

Hardcover

English

2013

Textbook

560 Pages

10in

0.9in

8.2in

40.9 Oz

Qa331.3.C73 2014

5

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.

2014

College Audience

Functional Analysis, General, Algebra / General

512

21

Mathematics