### 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 Quick Review 2.8 p.264 Section 2.8 Exercises p.264 Chapter 2 Review Exercises p.269

### 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 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.341 Section 3.6 Exercises 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 Section 4.6 Exercises p.411 Quick Review 4.6 p.411 4.7 Inverse Trigonometric Functions Quick Review 4.7 p.421 Section 4.7 Exercises p.421 4.8 Solving Problems with Trigonometry Quick Review 4.8 p.431 Section 4.8 Exercises p.431 Chapter 4 Review Exercises p.439

### Chapter 5

Analytic Trigonometry

 5.1 Fundamental Identities Section 5.1 Exercises p.451 Quick Review 5.1 p.451 5.2 Proving Trigonometric Identities Section 5.2 Exercises p.460 Quick Review 5.2 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 Section 5.5 Exercises p.484 Quick Review 5.5 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 Quick Review 6.4 p.539 Section 6.4 Exercises 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 Quick Review 7.1 p.575 Section 7.1 Exercises p.575 7.2 Matrix Algebra Section 7.2 Exercises p.590 Quick Review 7.2 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 Section 10.3 Exercises p.822 Quick Review 10.3 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 Quick Review P.2 p.20 Section P.2 Exercises 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 Section P.5 Exercises p.50 Quick Review P.5 p.50 P.6 Complex Numbers Section P.6 Exercises p.57 Quick Review P.6 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