## Table of Contents

1. Introduction to Functions and Graphs

1.1 Numbers, Data, and Problem Solving

1.2 Visualizing and Graphing Data

Checking Basic Concepts for Sections 1.1 and 1.2

1.3 Functions and Their Representations

1.4 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

2.1 Equations of Lines

2.2 Linear Equations

Checking Basic Concepts for Sections 2.1 and 2.2

2.3 Linear Inequalities

2.4 More Modeling with Functions

Checking Basic Concepts for Sections 2.3 and 2.4

2.5 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

3.1 Quadratic Functions and Models

3.2 Quadratic Equations and Problem Solving

Checking Basic Concepts for Sections 3.1 and 3.2

3.3 Complex Numbers

3.4 Quadratic Inequalities

Checking Basic Concepts for Sections 3.3 and 3.4

3.5 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

4.1 More Nonlinear Functions and Their Graphs

4.2 Polynomial Functions and Models

Checking Basic Concepts for Sections 4.1 and 4.2

4.3 Division of Polynomials

4.4 Real Zeros of Polynomial Functions

Checking Basic Concepts for Sections 4.3 and 4.4

4.5 The Fundamental Theorem of Algebra

4.6 Rational Functions and Models

Checking Basic Concepts for Sections 4.5 and 4.6

4.7 More Equations and Inequalities

4.8 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

5.1 Combining Functions

5.2 Inverse Functions and Their Representations

Checking Basic Concepts for Sections 5.1 and 5.2

5.3 Exponential Functions and Models

5.4 Logarithmic Functions and Models

Checking Basic Concepts for Sections 5.3 and 5.4

5.5 Properties of Logarithms

5.6 Exponential and Logarithmic Equations

Checking Basic Concepts for Sections 5.5 and 5.6

5.7 Constructing Nonlinear Models

Checking Basic Concepts for Section 5.7

Chapter 5 Summary

Chapter 5 Review Exercises

Chapter 5 Extended and Discovery Exercises

6. Systems of Equations and Inequalities

6.1 Functions and Systems of Equations in Two Variables

6.2 Systems of Inequalities in Two Variables

Checking Basic Concepts for Sections 6.1 and 6.2

6.3 Systems of Linear Equations in Three Variables

6.4 Solutions to Linear Systems Using Matrices

Checking Basic Concepts for Sections 6.3 and 6.4

6.5 Properties and Applications of Matrices

6.6 Inverses of Matrices

Checking Basic Concepts for Sections 6.5 and 6.6

6.7 Determinants

Checking Basic Concepts for Section 6.7

Chapter 6 Summary

Chapter 6 Review Exercises

Chapter 6 Extended and Discovery Exercises

Chapters 1-6 Cumulative Review Exercises

7. Conic Sections

7.1 Parabolas

7.2 Ellipses

Checking Basic Concepts for Sections 7.1 and 7.2

7.3 Hyperbolas

Checking Basic Concepts for Section 7.3

Chapter 7 Summary

Chapter 7 Review Exercises

Chapter 7 Extended and Discovery Exercises

8. Further Topics in Algebra

8.1 Sequences

8.2 Series

Checking Basic Concepts for Sections 8.1 and 8.2

8.3 Counting

8.4 The Binomial Theorem

Checking Basic Concepts for Sections 8.3 and 8.4

8.5 Mathematical Induction

8.6 Probability

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

R. Reference: Basic Concepts from Algebra and Geometry

R.1 Formulas from Geometry

R.2 Integer Exponents

R.3 Polynomial Expressions

R.4 Factoring Polynomials

R.5 Rational Expressions

R.6 Radical Notation and Rational Exponents

R.7 Radical Expressions

Appendix A: Collaborative Activities

Appendix B: A Library of Functions

Appendix C: Partial Fractions

Appendix D: Percent Change and Exponential Functions

Bibliography

Answers to Selected Exercises

Photo Credits

Index of Applications

Index