FUNCTIONS AND CHANGE: A MODELING APPROACH TO COLLEGE ALGEBRA, Sixth Edition, is ideal for both non-math and science majors, as well as students who may continue onto calculus. With an emphasis on business applications, this book helps you connect math in the real world, master the material, and hone your critical thinking skills. The authors incorporate graphing utilities, functions, modeling, real data, applications and projects to develop your skills and give you the practice you need to not only master basic mathematics, but also to apply it in future courses and, ultimately, your career. Now supported by WebAssign, the powerful online homework and course management system that engages students in learning math.
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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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Produktdetaljer
ISBN
9781337111348
Publisert
2017-01-01
Utgave
6. utgave
Utgiver
Vendor
Brooks/Cole
Vekt
1293 gr
Høyde
262 mm
Bredde
211 mm
Dybde
25 mm
Aldersnivå
U, 05
Språk
Product language
Engelsk
Format
Product format
Innbundet
Antall sider
576