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Viser: Functions and Change - A Modeling Approach to College Algebra
Functions and Change
A Modeling Approach to College Algebra
Bruce Crauder, Benny Evans og Alan Noell
(2017)
Sprog: Engelsk
om ca. 10 hverdage
Detaljer om varen
- 6. Udgave
- Hardback: 576 sider
- Udgiver: Brooks/Cole (Januar 2017)
- Forfattere: Bruce Crauder, Benny Evans og Alan Noell
- ISBN: 9781337111348
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 DataBRIEF ANSWERS TO SELECTED EXERCISES. INDEX.