### Chapter 1

Functions And Their Graphs

1.1 | Rectangular Coordinates | Exercises | p.8 |

1.2 | Graphs of Equations | Exercises | p.19 |

1.3 | Linear Equations in Two Variables | Exercises | p.31 |

1.4 | Functions | Exercises | p.44 |

1.5 | Analyzing Graphs of Functions | Exercises | p.56 |

1.6 | A Library of Parent Functions | Exercises | p.65 |

1.7 | Transformations of Functions | Exercises | p.72 |

1.8 | Combinations of Functions: Composite Functions | Exercises | p.81 |

1.9 | Inverse Functions | Exercises | p.90 |

1.10 | Mathematical Modeling and Variation | Exercises | p.100 |

Review Exercises | p.106 | ||

Chapter Test | p.109 | ||

Problem Solving | p.111 |

### Chapter 2

Polynomial And Rational Functions

2.1 | Quadratic Functions and Models | Exercises | p.120 |

2.2 | Polynomial Functions of Higher Degree | Exercises | p.133 |

2.3 | Polynomials and Synthetic Division | Exercises | p.144 |

2.4 | Complex Numbers | Exercises | p.152 |

2.5 | Zeroes of Polynomials Functions | Exercises | p.164 |

2.6 | Rational Functions | Exercises | p.177 |

2.7 | Nonlinear Inequalities | Exercises | p.187 |

Review Exercises | p.192 | ||

Chapter Test | p.194 | ||

Problem Solving | p.197 |

### Chapter 3

Exponential And Logarithmic Functions

3.1 | Exponential Functions and Their Graphs | Exercises | p.208 |

3.2 | Logarithmic Functions and Their Graphs | Exercises | p.218 |

3.3 | Properties of Logarithms | Exercises | p.225 |

3.4 | Exponential and Logarithmic Equations | Exercises | p.235 |

3.5 | Exponential and Logarithmic Models | Exercises | p.245 |

Review Exercises | p.252 | ||

Chapter Test | p.255 | ||

Problem Solving | p.259 |

### Chapter 4

Trigonometry

4.3 | Right Triangle Trigonometry | Exercises | p.146 |

4.1 | Radian and Degree Measure | Exercises | p.269 |

4.2 | Trigonometric Functions: The Unit Circle | Exercises | p.277 |

4.4 | Trigonometric Functions of Any Angle | Exercises | p.296 |

4.5 | Graphs of Sine and Cosine Functions | Exercises | p.306 |

4.6 | Graphs of Other Trigonometric Functions | Exercises | p.317 |

4.7 | Inverse Trigonometric Functions | Exercises | p.326 |

4.8 | Applications and Models | Exercises | p.336 |

Review Exercises Chapter 4 | p.342 | ||

Chapter Test | p.345 | ||

Problem Solving | p.347 |

### Chapter 5

Analytic Geometry

5.1 | Using Fundamental Identities | Exercises | p.355 |

5.2 | Verifying Trigonometric Identities | Exercises | p.362 |

5.3 | Solving Trigonometric Equations | Exercises | p.371 |

5.4 | Sum and Difference Formulas | Exercises | p.379 |

5.5 | Multiple-Angle and Product-to-Sum Formulas | Exercises | p.389 |

Review Exercises | p.393 | ||

Chapter Test | p.395 | ||

Problem Solving | p.399 |

### Chapter 6

Additional Topics In Trigonometry

6.1 | Law of Sines | Exercises | p.408 |

6.2 | Law of Cosines | Exercises | p.415 |

6.3 | Vectors in the Plane | Exercises | p.427 |

6.4 | Vectors and Dot Products | Exercises | p.437 |

6.5 | Trigonometric Form of a Complex Number | Exercises | p.448 |

Review Exercises | p.452 | ||

Chapter Test | p.456 | ||

Cumulative Test for Chapters 4-6 | p.457 | ||

Problem Solving | p.463 |

### Chapter 7

Systems Of Equations And Inequalities

7.1 | Linear and Nonlinear Systems of Equations | Exercises | p.473 |

7.2 | Two-Variable Linear Systems | Exercises | p.484 |

7.3 | Multivariable Linear Systems | Exercises | p.496 |

7.4 | Partial Fractions | Exercises | p.506 |

7.5 | Systems of Inequalities | Exercises | p.515 |

7.6 | Linear Programming | Exercises | p.524 |

Review Exercises Chapter 7 | p.529 | ||

Chapter Test | p.533 | ||

Problem Solving | p.535 |

### Chapter 8

Matrices And Determinants

8.1 | Matrices and Systems of Equations | Exercises | p.547 |

8.2 | Operations with Matrices | Exercises | p.561 |

8.3 | The Inverse of a Square Matrix | Exercises | p.571 |

8.4 | The Determinant of a Square Matrix | Exercises | p.579 |

8.5 | Applications of Matrices and Determinants | Exercises | p.591 |

Review Exercises | p.596 | ||

Chapter Test | p.601 | ||

Problem Solving | p.603 |

### Chapter 9

Sequences, Series, And Probability

9.1 | Sequences and Series | Exercises | p.613 |

9.2 | Arithmetic Sequences and Partial Sums | Exercises | p.622 |

9.3 | Geometric Sequences and Series | Exercises | p.631 |

9.4 | Mathematical Induction | Exercises | p.642 |

9.5 | The Binomial Theorem | Exercises | p.649 |

9.6 | The Counting Principles | Exercises | p.659 |

9.7 | Probability | Exercises | p.670 |

Review Exercises Chapter 9 | p.676 | ||

Chapter Test | p.679 | ||

Cumulative Test for Chapters 7-9 | p.680 | ||

Problem Solving | p.685 |

### Chapter 10

Topics In Analytic Geometry

10.1 | Lines | Exercises | p.692 |

10.2 | Introduction to Conics: Parabolas | Exercises | p.700 |

10.3 | Ellipses | Exercises | p.710 |

10.4 | Hyperbolas | Exercises | p.720 |

10.5 | Rotation of Conics | Exercises | p.729 |

10.6 | Parametric Equations | Exercises | p.737 |

10.7 | Polar Coordinates | Exercises | p.745 |

10.8 | Graphs of Polar Equations | Exercises | p.753 |

10.9 | Polar Equations of Conics | Exercises | p.759 |

Review Exercises | p.764 | ||

Chapter Test | p.767 | ||

Problem Solving | p.771 |

### Chapter 11

Analytic Geometry In Three Dimensions

11.1 | The Three-Dimensional Coordinate System | Exercises | p.779 |

11.2 | Vectors in Space | Exercises | p.786 |

11.4 | Lines and Planes in Space | Exercises | p.802 |

Review Exercises | p.806 | ||

Chapter Test | p.808 | ||

Problem Solving | p.811 |

### Chapter 12

Limits And An Introduction To Calculus

12.1 | Introduction to Limits | Exercises | p.822 |

12.2 | Techniques for Evaluating Limits | Exercises | p.833 |

12.3 | The Tangent Line Problem | Exercises | p.842 |

12.4 | Limits at Infinity and Limits of Sequences | Exercises | p.851 |

12.5 | The Area Problem | Exercises | p.860 |

Review Exercises | p.864 | ||

Chapter Test | p.867 | ||

Problem Solving | p.871 |

### Chapter 13

Concepts In Statistics

13.1 | Representing Data | Exercises | p.879 |

13.2 | Analyzing Data | Exercises | p.890 |

13.3 | Modeling Data | Exercises | p.898 |

Review Exercises | p.902 | ||

Chapter Test | p.904 | ||

Problem Solving | p.906 |