Algebra and Trigonometry with Modeling & Visualization 6th Edition Gary K. Rockswold-Test Bank

1. Functions and Graphs Introduction

– Numbers, Data, and Problem Solving
– Visualizing and Graphing Data
– Checking Basic Concepts for Sections 1.1 and 1.2
– Functions and Their Representations
– Types of Functions and Their Rates of Change
– Checking Basic Concepts for Sections 1.3 and 1.4

Chapter 1 Summary

Chapter 1 Review Exercises

Chapter 1 Extended and Discovery Exercises

2. Linear Functions and Equations

– Equations of Lines
– Linear Equations
– Checking Basic Concepts for Sections 2.1 and 2.2
– Linear Inequalities
– More Modeling with Functions
– Checking Basic Concepts for Sections 2.3 and 2.4
– Absolute Value Equations and Inequalities
– Checking Basic Concepts for Section 2.5

Chapter 2 Summary

Chapter 2 Review Exercises

Chapter 2 Extended and Discovery Exercises

Chapters 1-2 Cumulative Review Exercises

3. Quadratic Functions and Equations

– Quadratic Functions and Models
– Quadratic Equations and Problem Solving
– Checking Basic Concepts for Sections 3.1 and 3.2
– Complex Numbers
– Quadratic Inequalities
– Checking Basic Concepts for Sections 3.3 and 3.4
– Transformations of Graphs
– Checking Basic Concepts for Section 3.5

Chapter 3 Summary

Chapter 3 Review Exercises

Chapter 3 Extended and Discovery Exercises

4. More Nonlinear Functions and Equations

– More Nonlinear Functions and Their Graphs
– Polynomial Functions and Models
– Checking Basic Concepts for Sections 4.1 and 4.2
– Division of Polynomials
– Real Zeros of Polynomial Functions
– Checking Basic Concepts for Sections 4.3 and 4.4
– The Fundamental Theorem of Algebra
– Rational Functions and Models
– Checking Basic Concepts for Sections 4.5 and 4.6
– More Equations and Inequalities
– Radical Equations and Power Functions
– Checking Basic Concepts for Sections 4.7 and 4.8

Chapter 4 Summary

Chapter 4 Review Exercises

Chapter 4 Extended and Discovery Exercises

Chapters 1-4 Cumulative Review Exercises

5. Exponential and Logarithmic Functions

– Combining Functions
– Inverse Functions and Their Representations
– Checking Basic Concepts for Sections 5.1 and 5.2
– Exponential Functions and Models
– Logarithmic Functions and Models
– Checking Basic Concepts for Sections 5.3 and 5.4
– Properties of Logarithms
– Exponential and Logarithmic Equations
– Checking Basic Concepts for Sections 5.5 and 5.6
– Constructing Nonlinear Models
– Checking Basic Concepts for Section 5.7

Chapter 5 Summary

Chapter 5 Review Exercises

Chapter 5 Extended and Discovery Exercises

6. Trigonometric Functions

– Angles and Their Measure
– Right Triangle Trigonometry
– Checking Basic Concepts for Sections 6.1 and 6.2
– The Sine and Cosine Functions and Their Graphs
– Other Trigonometric Functions and Their Graphs
– Checking Basic Concepts for Sections 6.3 and 6.4
– Graphing Trigonometric Functions
– Inverse Trigonometric Functions
– Checking Basic Concepts for Sections 6.5 and 6.6

Chapter 6 Summary

Chapter 6 Review Exercises

Chapter 6 Extended and Discovery Exercises

Chapters 1-6 Cumulative Review Exercises

7. Trigonometric Identities and Equations

– Fundamental Identities
– Verifying Identities
– Checking Basic Concepts for Sections 7.1 and 7.2
– Trigonometric Equations
– Sum and Difference Identities
– Checking Basic Concepts for Sections 7.3 and 7.4
– Multiple-Angle Identities
– Checking Basic Concepts for Section 7.5

Chapter 7 Summary

Chapter 7 Review Exercises

Chapter 7 Extended and Discovery Exercises

8. Further Topics in Trigonometry

– Law of Sines
– Law of Cosines
– Checking Basic Concepts for Sections 8.1 and 8.2
– Vectors
– Parametric Equations
– Checking Basic Concepts for Sections 8.3 and 8.4
– Polar Equations
– Trigonometric Form and Roots of Complex Numbers
– Checking Basic Concepts for Sections 8.5 and 8.6

Chapter 8 Summary

Chapter 8 Review Exercises

Chapter 8 Extended and Discovery Exercises

Chapters 1-8 Cumulative Review Exercises

9. Systems of Equations and Inequalities

– Functions and Systems of Equations in Two Variables
– Systems of Inequalities in Two Variables
– Checking Basic Concepts for Sections 9.1 and 9.2
– Systems of Linear Equations in Three Variables
– Solutions to Linear Systems Using Matrices
– Checking Basic Concepts for Sections 9.3 and 9.4
– Properties and Applications of Matrices
– Inverses of Matrices
– Checking Basic Concepts for Sections 9.5 and 9.6
– Determinants
– Checking Basic Concepts for Section 9.7

Chapter 9 Summary

Chapter 9 Review Exercises

Chapter 9 Extended and Discovery Exercises

Chapters 1-9 Cumulative Review Exercises

10. Conic Sections

– Parabolas
– Ellipses
– Checking Basic Concepts for Sections 10.1 and 10.2
– Hyperbolas
– Checking Basic Concepts for Section 10.3

Chapter 10 Summary

Chapter 10 Review Exercises

Chapter 10 Extended and Discovery Exercises

11. Further Topics in Algebra

– Sequences
– Series
– Checking Basic Concepts for Sections 11.1 and 11.2
– Counting
– The Binomial Theorem
– Checking Basic Concepts for Sections 11.3 and 11.4
– Mathematical Induction
– Probability
– Checking Basic Concepts for Sections 11.5 and 11.6

Chapter 11 Summary

Chapter 11 Review Exercises

Chapter 11 Extended and Discovery Exercises

Chapters 1-11 Cumulative Review Exercises

R. Reference: Basic Concepts from Algebra and Geometry

– Formulas from Geometry
– Integer Exponents
– Polynomial Expressions
– Factoring Polynomials
– Rational Expressions
– Radical Notation and Rational Exponents
– Radical Expressions

Appendix A: Using the Graphing Calculator

Appendix B: A Library of Functions

Appendix C: Partial Fractions

Appendix D: Percent Change and Exponential Functions

Appendix E: Rotation of Axes

Bibliography

Answers to Selected Exercises

Photo Credits

Index of Applications

Index