### Chapter 1

Functions And Graphs

1.1 | Modeling and Equation Solving | Quick Review | p.81 |

Section 1.1 Exercises | p.81 | ||

1.2 | Functions and Their Properties | Quick Review 1.2 | p.101 |

Section 1.2 Exercises | p.102 | ||

1.3 | Twelve Basic Functions | Section 1.3 Exercises | p.113 |

Quick Review 1.3 | p.113 | ||

1.4 | Building Functions from Functions | Section 1.4 Exercises | p.124 |

Quick Review 1.4 | p.124 | ||

1.5 | Parametric Relations and Inverses | Section 1.5 Exercises | p.135 |

Quick Review 1.5 | p.135 | ||

1.6 | Graphical Transformations | Quick Review 1.6 | p.147 |

Section 1.6 Exercises | p.147 | ||

1.7 | Modeling with Functions | Quick Review 1.7 | p.160 |

Section 1.7 Exercises | p.160 | ||

Chapter 1 Review Exercises | p.165 |

### Chapter 2

Polynomial, Power, And Rational Functions

2.1 | Linear and Quadratic Functions and Modeling | Section 2.1 Exercises | p.182 |

Quick Review 2.1 | p.182 | ||

2.2 | Power Functions with Modeling | Section 2.2 Exercises | p.196 |

Quick Review 2.2 | p.196 | ||

2.3 | Polynomial Functions of Higher Degree with Modeling | Quick Review 2.3 | p.208 |

Section 2.3 Exercises | p.209 | ||

2.4 | Real Zeros of Polynomial Functions | Section 2.4 Exercises | p.223 |

Quick Review 2.4 | p.223 | ||

2.5 | Complex Zeros and the Fundamental Theorem of Algebra | Quick Review 2.5 | p.233 |

Section 2.5 Exercises | p.234 | ||

2.6 | Graphs of Rational Functions | Section 2.6 Exercises | p.245 |

Quick Review 2.6 | p.245 | ||

2.7 | Solving Equations in One Variable | Quick Review 2.8 | p.253 |

Section 2.7 Exercises | p.253 | ||

2.8 | Solving Inequalities in One Variable | Section 2.8 Exercises | p.264 |

Quick Review 2.8 | p.264 | ||

Chapter 2 Review Exercises | p.269 |

### Chapter 3

Exponential, Logistic, And Logarithmic Functions

3.1 | Exponential and Logistic Functions | Quick Review 3.1 | p.286 |

Section 3.1 Exercises | p.286 | ||

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

Quick Review 3.2 | p.296 | ||

3.3 | Logarithmic Functions | Quick Review 3.3 | p.308 |

Section 3.3 Exercises | 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 | Section 3.6 Exercises | p.341 |

Quick Review 3.6 | p.341 | ||

Chapter 3 Review Exercises | p.344 |

### Chapter 4

Trigonometric Functions

4.1 | Angles and Their Measure | Quick Review 4.1 | p.356 |

Section 4.1 Exercises | p.356 | ||

4.2 | Trigonometric Functions of Acute Angles | Quick Review 4.2 | p.366 |

Section 4.2 Exercises | p.366 | ||

4.3 | Trigonometry Extended: The Circular Functions | Quick Review 4.3 | p.380 |

Section 4.3 Exercises | p.381 | ||

4.4 | Graphs of Sine and Cosine: Sinusoids | Quick Review 4.4 | p.392 |

Section 4.4 Exercises | p.392 | ||

4.5 | Graphs of Tangent, Cotangent, Secant, and Cosecant | Quick Review 4.5 | p.400 |

Section 4.5 Exercises | p.401 | ||

4.6 | Graphs of Composite Trigonometric Functions | Quick Review 4.6 | p.411 |

Section 4.6 Exercises | p.411 | ||

4.7 | Inverse Trigonometric Functions | Section 4.7 Exercises | p.421 |

Quick Review 4.7 | p.421 | ||

4.8 | Solving Problems with Trigonometry | Section 4.8 Exercises | p.431 |

Quick Review 4.8 | p.431 | ||

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 | Section 5.3 Exercises | p.468 |

Quick Review 5.3 | 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

Applications Of Trigonometric Functions

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.558 |

Section 6.6 Exercises | p.559 | ||

Chapter 6 Review Exercises | p.561 |

### Chapter 7

Systems And Matrices

7.1 | Solving Systems of Two Equations | Section 7.1 Exercises | p.575 |

Quick Review 7.1 | p.575 | ||

7.2 | Matrix Algebra | Quick Review 7.2 | p.590 |

Section 7.2 Exercises | p.590 | ||

7.3 | Multivariate Linear Systems and Row Operations | Quick Review 7.3 | p.603 |

Section 7.3 Exercises | p.604 | ||

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

Section 7.4 Exercises | p.614 | ||

7.5 | Systems of Inequalities in Two Variables | Section 7.5 Exercises | p.623 |

Quick Review 7.5 | p.623 | ||

Chapter 7 Review Exercises | p.626 |

### Chapter 8

Analytic Geometry In Two And Three Dimensions

8.1 | Conic Sections and Parabolas | Quick Review 8.1 | p.640 |

Section 8.1 Exercises | p.641 | ||

8.2 | Ellipses | Section 8.2 Exercises | p.653 |

Quick Review 8.2 | p.653 | ||

8.3 | Hyperbolas | Quick Review 8.3 | p.663 |

Section 8.3 Exercises | p.663 | ||

8.4 | Translation and Rotation of Axes | Quick Review 8.4 | p.672 |

Section 8.4 Exercises | p.673 | ||

8.5 | Polar Equations of Conics | Quick Review 8.5 | p.681 |

Section 8.5 Exercises | p.682 | ||

8.6 | Three-Dimensional Cartesian Coordinate System | Section 8.6 Exercises | p.693 |

Quick Review 8.6 | p.693 | ||

Chapter 8 Review Exercises | p.696 |

### Chapter 9

Discrete Mathematics

9.1 | Basic Combinatorics | Quick Review 9.1 | p.707 |

Section 9.1 Exercises | p.708 | ||

9.2 | The Binomial Theorem | Section 9.2 Exercises | p.715 |

Quick Review 9.2 | p.715 | ||

9.3 | Probability | Quick Review 9.3 | p.728 |

Section 9.3 Exercises | p.728 | ||

9.4 | Sequences | Quick Review 9.4 | p.739 |

Section 9.4 Exercises | p.739 | ||

9.5 | Series | Section 9.5 Exercises | p.749 |

Quick Review 9.5 | p.749 | ||

9.6 | Mathematical Induction | Section 9.6 Exercises | p.756 |

Quick Review 9.6 | p.756 | ||

9.7 | Statistics and Data (Graphical) | Quick Review 9.7 | p.767 |

Section 9.7 Exercises | p.768 | ||

9.8 | Statistics and Data (Algebraic) | Section 9.8 Exercises | p.782 |

Chapter 9 Review Exercises | p.786 |

### Chapter 10

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

10.1 | Limits and Motion: The Tangent Problem | Section 10.1 Exercises | p.801 |

Quick Review 10.1 | p.801 | ||

10.2 | Limits and Motion: The Area Problem | Quick Review 10.2 | p.809 |

Section 10.2 Exercises | p.810 | ||

10.3 | More on Limits | Quick Review 10.3 | p.822 |

Section 10.3 Exercises | p.822 | ||

10.4 | Numerical Derivatives and Integrals | Quick Review 10.4 | p.831 |

Section 10.4 Exercises | p.832 | ||

Chapter 10 Review Exercises | p.836 |

### Chapter Prerequisites

P

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.20 |

Quick Review P.2 | p.20 | ||

P.3 | Linear Equations and Inequalities | Quick Review P.3 | p.28 |

Section P.3 Exercises | p.29 | ||

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 | Quick Review P.5 | p.50 |

Section P.5 Exercises | p.50 | ||

P.6 | Complex Numbers | Quick Review P.6 | p.57 |

Section P.6 Exercises | p.57 | ||

P.7 | Solving Inequalities Algebraically and Graphically | Quick Review | p.63 |

Section P.7 Exercises | p.64 | ||

Chapter P Review Exercises | p.66 |