## Table of Contents

Preface

To the Student

**Just-in-Time Review**

1. Real Numbers

2. Properties of Real Numbers

3. Order on the Number Line

4. Absolute Value

5. Operations with Real Numbers

6. Interval Notation

7. Integers as Exponents

8. Scientific Notation

9. Order of Operations

10. Introduction to Polynomials

11. Add and Subtract Polynomials

12. Multiply Polynomials

13. Special Products of Binomials

14. Factor Polynomials; The FOIL Method

15. Factor Polynomials: The ac-Method

16. Special Factorizations

17. Equation-Solving Principles

18. Inequality-Solving Principles

19. The Principle of Zero Products

20. The Principle of Square Roots

21. Simplify Rational Expressions

22. Multiply and Divide Rational Expressions

23. Add and Subtract Rational Expressions

24. Simplify Complex Rational Expressions

25. Simplify Radical Expressions

26. Rationalize Denominators

27. Rational Exponents

28. The Pythagorean Theorem

**1. Graphs, Functions, and Models**

1.1. Introduction to Graphing

Visualizing the Graph

1.2. Functions and Graphs

1.3. Linear Functions, Slope, and Applications

Visualizing the Graph

Mid-Chapter Mixed Review

1.4. Equations of Lines and Modeling

1.5. Linear Equations, Functions, Zeros, and Applications

1.6. Solving Linear Inequalities

Summary and Review

Review Exercises

Chapter Test

**2. More on Functions**

2.1. Increasing, Decreasing, and Piecewise Functions; Applications

2.2. The Algebra of Functions

2.3. The Composition of Functions

Mid-Chapter Mixed Review

2.4. Symmetry

2.5. Transformations

Visualizing the Graph

2.6. Variation and Applications

Summary and Review

Review Exercises

Chapter Test

**3. Quadratic Functions and Equations; Inequalities**

3.1. The Complex Numbers

3.2. Quadratic Equations, Functions, Zeros, and Models

3.3. Analyzing Graphs of Quadratic Functions

Visualizing the Graph

Mid-Chapter Mixed Review

3.4. Solving Rational Equations and Radical Equations

3.5. Solving Equations and Inequalities with Absolute Value

Summary and Review

Review Exercises

Chapter Test

**4. Polynomial Functions and Rational Functions**

4.1. Polynomial Functions and Modeling

4.2. Graphing Polynomial Functions

Visualizing the Graph

4.3. Polynomial Division; The Remainder Theorem and the Factor Theorem

Mid-Chapter Mixed Review

4.4. Theorems about Zeros of Polynomial Functions

4.5. Rational Functions

Visualizing the Graph

4.6. Polynomial Inequalities and Rational Inequalities

Study Guide

Review Exercises

Chapter Test

**5. Exponential Functions and Logarithmic Functions**

5.1. Inverse Functions

5.2. Exponential Functions and Graphs

5.3. Logarithmic Functions and Graphs

Visualizing the Graph

Mid-Chapter Mixed Review

5.4. Properties of Logarithmic Functions

5.5. Solving Exponential Equations and Logarithmic Equations

5.6. Applications and Models: Growth and Decay; Compound Interest 364

Study Guide

Review Exercises

Chapter Test

**6. Systems of Equations and Matrices**

6.1. Systems of Equations in Two Variables

Visualizing the Graph

6.2. Systems of Equations in Three Variables

6.3. Matrices and Systems of Equations

6.4. Matrix Operations

Mid-Chapter Mixed Review

6.5. Inverses of Matrices

6.6. Determinants and Cramer’s Rule

6.7. Systems of Inequalities and Linear Programming

6.8. Partial Fractions

Study Guide

Review Exercises

Chapter Test

**7. Conic Sections**

7.1. The Parabola

7.2. The Circle and the Ellipse

Mid-Chapter Mixed Review

7.3. The Hyperbola

7.4. Nonlinear Systems of Equations and Inequalities

Visualizing the Graph

Study Guide

Review Exercises

Chapter Test

**8. Sequences, Series, and Combinatorics**

8.1. Sequences and Series

8.2. Arithmetic Sequences and Series

8.3. Geometric Sequences and Series

Visualizing the Graph

8.4. Mathematical Induction

Mid-Chapter Mixed Review

8.5. Combinatorics: Permutations

8.6. Combinatorics: Combinations

8.7. The Binomial Theorem

8.8. Probability

Study Guide

Review Exercises

Chapter Test

Photo Credits

Answers

Additional Instructor’s Answers

Index

Index of Applications