### Chapter 1

Functions And Their Graphs

1.1 | Rectangular Coordinates | Exercises | p.9 |

1.2 | Graphs of Equations | Exercises | p.22 |

1.3 | Linear Equations in Two Variables | Exercises | p.34 |

1.4 | Functions | Exercises | p.48 |

1.5 | Analyzing Graphs of Functions | Exercises | p.61 |

1.6 | A Library of Parent Functions | Exercises | p.71 |

1.7 | Transformations of Functions | Exercises | p.79 |

1.8 | Combinations of Functions | Exercises | p.89 |

1.9 | Inverse Functions | Exercises | p.99 |

1.10 | Mathematical Modeling and Variation | Exercises | p.109 |

Review Exercises | p.117 | ||

Chapter 1 Test | p.123 | ||

Problem Solving | p.125 |

### Chapter 2

Polynomial And Rational Functions

2.1 | Quadratic Functions and Models | Exercises | p.134 |

2.2 | Polynomial Functions of Higher Degree | Exercises | p.148 |

2.3 | Polynomial and Synthetic Division | Exercises | p.159 |

2.4 | Complex Numbers | Exercises | p.167 |

2.5 | Zeros of Polynomial Functions | Exercises | p.179 |

2.6 | Rational Functions | Exercises | p.193 |

Exercises | p.204 | ||

Review Exercises | p.208 | ||

Chapter 2 Test | p.212 | ||

Problem Solving | p.215 |

### Chapter 3

Exponential And Logarithmic Functions

3.1 | Exponential Functions and Their Graphs | Exercises | p.226 |

3.2 | Logarithmic Functions and Their Graphs | Exercises | p.236 |

3.3 | Properties of Logarithms | Exercises | p.243 |

3.4 | Exponential and Logarithmic Equations | Exercises | p.253 |

3.5 | Exponential and Logarithmic Models | Exercises | p.264 |

Review Exercises | p.271 | ||

Chapter 3 Test | p.275 | ||

Cumulative Test for Chapters 1-3 | p.276 | ||

Problem Solving | p.279 |

### Chapter 4

Trigonometry

4.1 | Radian and Degree Measure | Exercises | p.290 |

4.2 | Trigonometric Functions: The Unit Circle | Exercises | p.299 |

4.3 | Right Triangle Trigonometry | Exercises | p.308 |

4.4 | Trigonometric Functions of Any Angle | Exercises | p.318 |

4.5 | Graphs of Sine and Cosine Functions | Exercises | p.328 |

4.6 | Graphs of Other Trigonometric Functions | Exercises | p.339 |

4.7 | Inverse Trigonometric Functions | Exercises | p.349 |

4.8 | Application and Models | Exercises | p.359 |

Review Exercises | p.365 | ||

Chapter 4 Test | p.369 | ||

Problem Solving | p.371 |

### Chapter 5

Analytic Trigonometry

5.1 | Using Fundamental Identities | Exercises | p.379 |

5.2 | Verifying Trigonometric Identities | Exercises | p.387 |

5.3 | Solving Trigonometric Equations | Exercises | p.397 |

5.4 | Sum and Difference Formulas | Exercises | p.404 |

5.5 | Multiple-Angle and Product-to-Sum Formulas | Exercises | p.415 |

Review Exercises | p.420 | ||

Chapter 5 Test | p.423 | ||

Problem Solving | p.427 |

### Chapter 6

Additional Topics In Trigonometry

6.1 | Law of Sines | Exercises | p.436 |

6.2 | Law of Cosines | Exercises | p.443 |

6.3 | Vectors in the Plane | Exercises | p.456 |

6.4 | Vectors and Dot Products | Exercises | p.467 |

6.5 | Trigonometric Form of a Complex Number | Exercises | p.478 |

Review Exercises | p.482 | ||

Chapter Test | p.486 | ||

Cumulative Test for Chapters 4-6 | p.487 | ||

Problem Solving | p.493 |

### Chapter 7

Systems Of Equations And Inequalities

7.1 | Linear and Nonlinear Systems of Equations | Exercises | p.503 |

7.2 | Two-Variable Linear Systems | Exercises | p.515 |

7.3 | Multivariable Linear Systems | Exercises | p.527 |

7.4 | Partial Fractions | Exercises | p.539 |

7.5 | Systems of Inequalities | Exercises | p.548 |

7.6 | Linear Programming | Exercises | p.558 |

Review Exercises | p.563 | ||

Chapter Test | p.567 | ||

Problem Solving | p.569 |

### Chapter 8

Matrices And Determinants

8.1 | Matrices and Systems of Equations | Exercises | p.582 |

8.2 | Operations with Matrices | Exercises | p.597 |

8.3 | The Inverse of a Square Matrix | Exercises | p.608 |

8.4 | The Determinant of a Square Matrix | Exercises | p.616 |

8.5 | Applications of Matrices and Determinants | Exercises | p.628 |

Review Exercises | p.632 | ||

Chapter Test | p.637 | ||

Problem Solving | p.639 |

### Chapter 9

Sequences, Series, And Probability

9.1 | Sequences and Series | Exercises | p.649 |

9.2 | Arithmetic Sequences and Partial Sums | Exercises | p.659 |

9.3 | Geometric Sequences and Series | Exercises | p.669 |

9.4 | Mathematical Induction | Exercises | p.681 |

9.5 | The Binomial Theorem | Exercises | p.688 |

9.6 | Counting Principles | Exercises | p.698 |

9.7 | Probability | Exercises | p.709 |

Review Exercises | p.715 | ||

Chapter Test | p.719 | ||

Cumulative Test for Chapters 7-9 | p.720 | ||

Problem Solving | p.725 |

### Chapter 10

Topics In Analytic Geometry

10.1 | Lines | Exercises | p.732 |

10.2 | Introduction to ConicsL Parabolas | Exercises | p.740 |

10.3 | Ellipses | Exercises | p.750 |

10.4 | Hyperbolas | Exercises | p.760 |

10.5 | Rotation of Conics | Exercises | p.769 |

10.6 | Parametric Equations | Exercises | p.776 |

10.7 | Polar Coordinates | Exercises | p.783 |

10.8 | Graphs of Polar Equations | Exercises | p.791 |

10.9 | Polar Equations of Conics | Exercises | p.797 |

Review Exercises | p.801 | ||

Chapter 10 Test | p.805 | ||

Problem Solving | p.809 |

### Chapter 11

Analytic Geometry In Three Dimensions

11.1 | The Three-Dimensional Coordinate System | Exercises | p.817 |

11.2 | Vectors in Space | Exercises | p.825 |

11.3 | The Cross Product of Two Vectors | Exercises | p.832 |

11.4 | Lines and Planes and Space | Exercises | p.841 |

Review Exercises | p.844 | ||

Chapter Test | p.846 | ||

Problem Solving | p.849 |

### Chapter 12

Limits And An Introduction To Calculus

12.1 | Introduction to Limits | Exercises | p.860 |

12.2 | Techniques for Evaluating Limits | Exercises | p.870 |

12.3 | The Tangent Line Problem | Exercises | p.880 |

12.4 | Limits at Infinity and Limits of Sequences | Exercises | p.889 |

12.5 | The Area Problem | Exercises | p.898 |

Review Exercises | p.901 | ||

Chapter Test | p.904 | ||

Cumulative Test for Chapters 10-12 | p.905 | ||

Problem Solving | p.908 |

### Chapter A

Review Of Fundamental Concepts Of Algebra

A.1 | Real Numbers and Their Properties | Exercises | p.A8 |

A.2 | Exponents and Radicals | Exercises | p.A20 |

A.3 | Polynomials and Factoring | Exercises | p.A31 |

A.4 | Rational Expressions | Exercises | p.A43 |

A.5 | Solving Equations | Exercises | p.A56 |

A.6 | Linear Inequalities in One Variable | Exercises | p.A66 |

A.7 | Errors and the Algebra of Calculus | Exercises | p.A75 |