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### Chapter 1

Functions And Graphs

 1.1 Modeling and Equation Solving Section 1.1 Exercises p.81 Quick Review 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 Quick Review 1.3 p.113 Section 1.3 Exercises p.113 1.4 Building Functions from Functions Quick Review 1.4 p.124 Section 1.4 Exercises p.124 1.5 Parametric Relations and Inverses Quick Review 1.5 p.135 Section 1.5 Exercises p.135 1.6 Graphical Transformations Quick Review 1.6 p.147 Section 1.6 Exercises p.147 1.7 Modeling with Functions Section 1.7 Exercises p.160 Quick Review 1.7 p.160 Chapter 1 Review Exercises p.165

### Chapter 2

Polynomial, Power, And Rational Functions

 2.1 Linear and Quadratic Functions and Modeling Quick Review 2.1 p.182 Section 2.1 Exercises p.182 2.2 Power Functions with Modeling Quick Review 2.2 p.196 Section 2.2 Exercises 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 Quick Review 2.6 p.245 Section 2.6 Exercises p.245 2.7 Solving Equations in One Variable Section 2.7 Exercises p.253 Quick Review 2.8 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 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 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 Section 4.1 Exercises p.356 Quick Review 4.1 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 Quick Review 5.3 p.468 Section 5.3 Exercises p.468 5.4 Multiple-Angle Identities Section 5.4 Exercises p.475 Quick Review 5.4 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 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 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 Quick Review 7.5 p.623 Section 7.5 Exercises 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 Quick Review 8.2 p.653 Section 8.2 Exercises p.653 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.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 Quick Review 9.2 p.715 Section 9.2 Exercises 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 Quick Review 9.6 p.756 Section 9.6 Exercises 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 Quick Review 10.1 p.801 Section 10.1 Exercises 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 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

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