### Chapter 1

Functions And Graphs

1.1 | Modeling and Equation Solving | Quick Review 1.1 | p.75 |

Section 1.1 Exercises | p.76 | ||

1.2 | Functions and Their Profiles | Quick Review 1.2 | p.97 |

Section 1.2 Exercises | p.98 | ||

1.3 | Twelve Basic Functions | Quick Review 1.3 | p.109 |

Section 1.3 Exercises | p.109 | ||

1.4 | Building Functions from Functions | Quick Review 1.4 | p.127 |

Section 1.4 Exercises | p.127 | ||

1.5 | Graphical Transformations | Quick Review 1.5 | p.139 |

Section 1.5 Exercises | p.139 | ||

1.6 | Modeling with Functions | Quick Review 1.6 | p.152 |

Section 1.6 Exercises | p.152 | ||

Chapter 1 Review Exercises | p.157 |

### Chapter 2

Polynomial, Power, And Rational Functions

2.1 | Linear and Quadratic Functions and Modeling | Section 2.1 Exercises | p.175 |

Quick Review 2.1 | p.175 | ||

2.2 | Power Functions with Modeling | Section 2.2 Exercises | p.189 |

Quick Review 2.2 | p.189 | ||

2.3 | Polynomial Functions of Higher Degree with Modeling | Section 2.3 Exercises | p.202 |

Quick Review 2.3 | p.202 | ||

2.4 | Real Zeros of Polynomial Functions | Section 2.4 Exercises | p.216 |

Quick Review 2.4 | p.216 | ||

2.5 | Complex Numbers | Quick Review 2.5 | p.226 |

Section 2.5 Exercises | p.227 | ||

2.6 | Complex Zeros and the Fundamental Theorem of Algebra | Quick Review 2.6 | p.234 |

Section 2.6 Exercises | p.234 | ||

2.7 | Graphs of Rational Functions | Quick Review 2.7 | p.245 |

Section 2.7 Exercises | p.246 | ||

2.8 | Solving Equations in One Variable | Quick Review 2.8 | p.254 |

Section 2.8 Exercises | p.254 | ||

2.9 | Solving Inequalities in One Variable | Section 2.9 Exercises | p.265 |

Quick Review 2.9 | p.265 | ||

Chapter 2 Review Exercises | p.270 |

### Chapter 3

Exponential, Logistic, And Logarithmic Functions

3.1 | Exponential and Logistic Functions | Section 3.1 Exercises | p.286 |

Quick Review 3.1 | p.286 | ||

3.2 | Exponential and Logistic Modeling | Section 3.2 Exercises | p.296 |

Quick Review 3.2 | p.296 | ||

3.3 | Logarithmic Functions and Their Graphs | Section 3.3 Exercises | p.308 |

Quick Review 3.3 | p.308 | ||

3.4 | Properties of Logarithmic Functions | Quick Review 3.4 | p.316 |

Section 3.4 Exercises | p.317 | ||

3.5 | Equation Solving and Modeling | Quick Review 3.5 | p.330 |

Section 3.5 Exercises | p.331 | ||

3.6 | Mathematics of Finance | Quick Review 3.6 | p.342 |

Section 3.6 Exercises | p.342 | ||

Chapter 3 Review Exercises | p.346 |

### Chapter 4

Trigonometric Functions

4.1 | Angles and Their Measures | Section 4.1 Exercises | p.358 |

Quick Review 4.1 | p.358 | ||

4.2 | Trigonometric Functions of Acute Angles | Quick Review 4.2 | p.368 |

Section 4.2 Exercises | p.368 | ||

4.3 | Trigonometry Extended: The Circular Functions | Quick Review 4.3 | p.382 |

Section 4.3 Exercises | p.383 | ||

4.4 | Graphs of Sine and Cosine: Sinusoids | Quick Review 4.4 | p.394 |

Section 4.4 Exercises | p.394 | ||

4.5 | Graphs of Tangent, Cotangent, Secant, and Cosecant | Quick Review 4.5 | p.402 |

Section 4.5 Exercises | p.403 | ||

4.6 | Graphs of Composite Trigonometric Functions | Quick Review 4.6 | p.413 |

Section 4.6 Exercises | p.413 | ||

4.7 | Inverse Trigonometric Functions | Section 4.7 Exercises | p.423 |

Quick Review 4.7 | p.423 | ||

4.8 | Solving Problems with Trigonometry | Section 4.8 Exercises | p.432 |

Quick Review 4.8 | p.432 | ||

Chapter 4 Review Exercises | p.439 |

### Chapter 5

Analytic Trigonometry

5.1 | Fundamental Identities | Quick Review 5.1 | p.451 |

Section 5.1 Exercises | p.451 | ||

5.2 | Proving Trigonometric Identities | Quick Review 5.2 | p.460 |

Section 5.2 Exercises | p.460 | ||

5.3 | Sum and Difference Identities | Quick Review 5.3 | p.468 |

Section 5.3 Exercises | p.468 | ||

5.4 | Multiple-Angle Identities | Quick Review 5.4 | p.475 |

Section 5.4 Exercises | p.475 | ||

5.5 | The Law of Sines | Quick Review 5.5 | p.484 |

Section 5.5 Exercises | p.484 | ||

5.6 | The Law of Cosines | Quick Review 5.6 | p.493 |

Section 5.6 Exercises | p.494 | ||

Chapter 5 Review Exercises | p.497 |

### Chapter 6

Vectors, Parametric Equations, And Polar Equations

6.1 | Vectors in the Plane | Quick Review 6.1 | p.511 |

Section 6.1 Exercises | p.511 | ||

6.2 | Dot Product of Vectors | Section 6.2 Exercises | p.519 |

Quick Review 6.2 | p.519 | ||

6.3 | Parametric Equations and Motion | Quick Review 6.3 | p.529 |

Section 6.3 Exercises | p.530 | ||

6.4 | Polar Coordinates | Section 6.4 Exercises | p.539 |

Quick Review 6.4 | p.539 | ||

6.5 | Graphs of Polar Equations | Quick Review 6.5 | p.547 |

Section 6.5 Exercises | p.548 | ||

6.6 | De Moivre's Theorem and nth Roots | Quick Review 6.6 | p.557 |

Section 6.6 Exercises | p.558 | ||

Chapter 6 Review Exercises | p.561 |

### Chapter 7

Systems And Matrices

7.1 | Solving Systems of Two Equations | Section 7.1 Exercises | p.573 |

Quick Review 7.1 | p.573 | ||

7.2 | Matrix Algebra | Section 7.2 Exercises | p.588 |

Quick Review 7.2 | p.588 | ||

7.3 | Multivariate Linear Systems and Row Operations | Quick Review 7.3 | p.601 |

Section 7.3 Exercises | p.602 | ||

7.4 | Partial Functions | Quick Review 7.4 | p.612 |

Section 7.4 Exercises | p.612 | ||

7.5 | Systems of Inequalities in Two Variables | Quick Review 7.5 | p.621 |

Section 7.5 Exercises | p.621 | ||

Chapter 7 Review Exercises | p.624 |

### Chapter 8

Analytic Geometry In Two And Three Dimensions

8.1 | Conic Sections and Parabolas | Section 8.1 Exercises | p.639 |

Quick Review 8.1 | p.639 | ||

8.2 | Ellipses | Quick Review 8.2 | p.651 |

Section 8.2 Exercises | p.652 | ||

8.3 | Hyperbolas | Section 8.3 Exercises | p.663 |

Quick Review 8.3 | p.663 | ||

8.4 | Translation and Rotation of Axes | Quick Review 8.4 | p.673 |

Section 8.4 Exercises | p.673 | ||

8.5 | Polar Equations of Conics | Quick Review 8.5 | p.682 |

Section 8.5 Exercises | p.683 | ||

8.6 | Three-Dimensional Cartesian Coordinate System | Quick Review 8.6 | p.694 |

Section 8.6 Exercises | p.695 | ||

Chapter 8 Review Exercises | p.697 |

### Chapter 9

Discrete Mathematics

9.1 | Basic Combinatorics | Quick Review 9.1 | p.710 |

Section 9.1 Exercises | p.710 | ||

9.2 | The Binomial Theorem | Quick Review 9.2 | p.717 |

Section 9.2 Exercises | p.717 | ||

9.3 | Probability | Section 9.3 Exercises | p.729 |

Quick Review 9.3 | p.729 | ||

9.4 | Sequences and Series | Quick Review 9.4 | p.746 |

Section 9.4 Exercises | p.746 | ||

9.5 | Mathematical Induction | Section 9.5 Exercises | p.755 |

Quick Review 9.5 | p.755 | ||

9.6 | Statistics and Data (Graphical) | Quick Review 9.6 | p.767 |

Section 9.6 Exercises | p.768 | ||

9.7 | Statistics and Data (Algebraic) | Quick Review 9.7 | p.782 |

Section 9.7 Exercises | p.783 | ||

Chapter 9 Review Exercises | p.788 |

### Chapter 10

An Introduction To Calculus: Limits, Derivatives, And ...

10.1 | Limits and Motion: The Tangent Problem | Section 10.1 Exercises | p.803 |

Quick Review 10.1 | p.803 | ||

10.2 | Limits and Motion: The Area Problem | Section 10.2 Exercises | p.812 |

Quick Review 10.2 | p.812 | ||

10.3 | More on Limits | Quick Review 10.3 | p.825 |

Section 10.3 Exercises | p.826 | ||

10.4 | Numerical Derivatives and Integrals | Quick Review 10.4 | p.835 |

Section 10.4 Exercises | p.836 | ||

Chapter 10 Review Exercises | p.840 |

### Chapter P

Prerequisites

P.1 | Real Numbers | Quick Review P.1 | p.10 |

Section P.1 Exercises | p.11 | ||

P.2 | Cartesian Coordinate System | Section P.2 Exercises | p.19 |

Quick Review P.2 | p.19 | ||

P.3 | Linear Equations and Inequalities | Section P.3 Exercises | p.28 |

Quick Review P.3 | p.28 | ||

P.4 | Lines in the Plane | Section P.4 Exercises | p.40 |

Quick Review P.4 | p.40 | ||

P.5 | Solving Equations Graphically, Numerically, and Algebraically | Section P.5 Exercises | p.50 |

Quick Review P.5 | p.50 | ||

P.6 | Solving Inequalities Algebraically and Graphically | Quick Review P.6 | p.58 |

Section P.6 Exercises | p.59 | ||

Chapter P Review Exercises | p.60 |