### Chapter 1

Graphs

1.1 | Rectangular Coordinates; Graphing Utilities | Exercises | p.9 |

1.2 | Introduction to Graphing Equations | Exercises | p.19 |

1.3 | Symmetry; Graphing Key Equations; Circles | Exercises | p.30 |

1.4 | Solving Equations | Exercises | p.43 |

1.5 | Solving Inequalities | Exercises | p.56 |

1.6 | Lines | Exercises | p.71 |

Review Exercises | p.77 |

### Chapter 2

Functions And Their Graphs

2.1 | Functions | Exercises | p.96 |

2.2 | Linear Functions and Models | Exercises | p.108 |

2.3 | Properties of Functions | Exercises | p.122 |

2.4 | Library of Functions; Piecewise-Defined Functions | Exercises | p.132 |

2.5 | Graphing Techniques: Transformations | Exercises | p.145 |

2.6 | Operations on Functions and Composition Functions | Exercises | p.155 |

2.7 | Mathematical Models: Constructing Functions | Exercises | p.163 |

Chapter Review | p.167 |

### Chapter 3

Polynomial And Rational Functions

3.1 | Quadratic Functions and Models | Exercises | p.189 |

3.2 | Power Functions and Models | Exercises | p.200 |

3.3 | Polynomial Functions and Models | Exercises | p.211 |

3.4 | Rational Functions I | Exercises | p.224 |

3.5 | Rational Functions II: Analyzing Graphs | Exercises | p.234 |

3.6 | Polynomial and Rational Inequalities | Exercises | p.243 |

3.7 | The Real Zeros of a Polynomial Function | Exercises | p.257 |

3.8 | Complex Zeros; Fundamental Theorem of Algebra | Exercises | p.263 |

Review Exercises | p.266 | ||

Cumulative Review | p.271 |

### Chapter 4

Exponential And Logarithmic Functions

4.1 | One-to-One Functions; Inverse Functions | Exercises | p.284 |

4.2 | Exponential Functions | Exercises | p.297 |

4.3 | Logarithmic Functions | Exercises | p.310 |

4.4 | Properties of Logarithms | Exercises | p.321 |

4.5 | Logarithmic and Exponential Equations | Exercises | p.327 |

4.6 | Compound Interest | Exercises | p.335 |

4.7 | Growth and Decay | Exercises | p.347 |

4.8 | Exponential, Logarithmic, and Logistic Models | Exercises | p.355 |

Review Exercises | p.360 |

### Chapter 5

Trigonometric Functions

5.1 | Angles and Their Measure | Exercises | p.379 |

5.2 | Trigonometric Functions: Unit Circle Approach | Exercises | p.395 |

5.3 | Properties of the Trigonometric Functions | Exercises | p.411 |

5.4 | Graphs of the Sine and Cosine Functions | Exercises | p.426 |

5.5 | Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions | Exercises | p.435 |

5.6 | Phase Shift; Sinusoidal Curve Fitting | Exercises | p.446 |

Review Exercises | p.451 | ||

Cumulative Review | p.456 |

### Chapter 6

Analytic Trigonometry

6.1 | The Inverse Sine, Cosine, and Tangent Functions | Exercises | p.468 |

6.2 | The Inverse Trigonometric Functions (Continued) | Exercises | p.474 |

6.3 | Trigonometric Identities | Exercises | p.480 |

6.4 | Sum and Difference Formulas | Exercises | p.491 |

6.5 | Double-Angle and Half-Angle Identities | Exercises | p.501 |

6.6 | Product-to-Sum and Sum-to-Product Formulas | Exercises | p.505 |

6.7 | Trigonometric Equations I | Exercises | p.511 |

6.8 | Trigonometric Equations II | Exercises | p.518 |

Review Exercises | p.522 |

### Chapter 7

Applications Of Trigonometric Functions

7.1 | Right Triangle Trigonometry | Exercises | p.536 |

7.2 | Law of Sines | Exercises | p.547 |

7.3 | Law of Cosines | Exercises | p.555 |

7.4 | Area of a Triangle | Exercises | p.561 |

7.5 | Simple Harmonic Motion; Damped Motion; Combining Waves | Exercises | p.571 |

Review Exercises | p.574 |

### Chapter 8

Polar Coordinates; Vectors

8.1 | Polar Coordinates | Exercises | p.590 |

8.2 | Polar Equations and Graphs | Exercises | p.607 |

8.3 | The Complex Plane; De Moivre's Theorem | Exercises | p.617 |

8.4 | Vectors | Exercises | p.628 |

8.5 | The Dot Product | Exercises | p.636 |

8.6 | Vectors in Space | Exercises | p.647 |

8.7 | The Cross Product | Exercises | p.653 |

Review Exercises | p.655 |

### Chapter 9

Analytic Geometry

9.2 | The Parabola | Exercises | p.672 |

9.3 | The Ellipse | Exercises | p.684 |

9.4 | The Hyperbola | Exercises | p.699 |

9.5 | Rotation of Axes; General Form of a Conic | Exercises | p.710 |

9.6 | Polar Equations of Conics | Exercises | p.717 |

9.7 | Plane Curves and Parametric Equations | Exercises | p.730 |

Review Exercises | p.735 | ||

Cumulative Review | p.738 |

### Chapter 10

Systems Of Equations And Inequalities

10.1 | Systems of Linear Equations: Two Equations Containing Two Variables | Exercises | p.748 |

10.2 | Systems of Linear Equations: Three Equations Containing Three Variables | Exercises | p.755 |

10.3 | Systems of Linear Equations: Matrices | Exercises | p.771 |

10.4 | Systems of Linear Equations: Determinants | Exercises | p.785 |

10.5 | Matrix Algebra | Exercises | p.803 |

10.6 | Partial Fraction Decomposition | Exercises | p.812 |

10.7 | Systems of Nonlinear Equations | Exercises | p.821 |

10.8 | Systems of Inequalities | Exercises | p.832 |

10.9 | Linear Programming | Exercises | p.840 |

Review Exercises | p.843 | ||

Cumulative Review | p.849 |

### Chapter 11

Sequences; Induction; The Binomial Theorem

11.1 | Sequences | Exercises | p.864 |

11.2 | Arithmetic Sequences | Exercises | p.872 |

11.3 | Geometric Sequences; Geometric Series | Exercises | p.882 |

11.4 | Mathematical Induction | Exercises | p.887 |

11.5 | The Binomial Theorem | Exercises | p.895 |

Review Exercises | p.897 | ||

Cumulative Review | p.900 |

### Chapter 12

Counting And Probability

12.1 | Sets and Counting | Exercises | p.907 |

12.2 | Permutations and Combinations | Exercises | p.916 |

12.3 | Probability of Equally Likely Outcomes | Exercises | p.929 |

12.4 | Obtaining Probabilities from Data | Exercises | p.935 |

Review Exercises | p.939 | ||

Cumulative Review | p.942 |

### Chapter 13

A Preview Of Calculus: The Limit, Derivative, ...

13.1 | Finding Limits Using Tables and Graphs | Exercises | p.948 |

13.2 | Algebra Techniques for Finding Limits | Exercises | p.956 |

13.3 | One-Sided Limits; Continuous Functions | Exercises | p.963 |

13.4 | The Tangent Problem; the Derivative | Exercises | p.971 |

13.5 | The Area Problem; the Integral | Exercises | p.979 |

Review Exercises | p.982 |