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Chapter 1

Graphs

1.1 The Distance and Midpoint Formulas Assess Your Understanding p.6
1.2 Graphs of Equations in Two Variables; Intercepts; Symmetry Assess Your Understanding p.16
1.3 Lines Assess Your Understanding p.30
1.4 Circles Assess Your Understanding p.37
Review Exercises p.42
Chapter Test p.43

Chapter 2

Functions And Their Graphs

2.1 Functions Assess Your Understanding p.56
2.2 The Graph of a Function Assess Your Understanding p.64
2.3 Properties of Functions Assess Your Understanding p.76
2.4 Library of Functions; Piecewise-defined Functions Assess Your Understanding p.87
2.5 Graphing Techniques: Transformations Assess Your Understanding p.99
2.6 Mathematical Models: Building Functions Assess Your Understanding p.106
Review Exercises p.111
Chapter Test p.114
Cumulative Review p.115

Chapter 3

Linear And Quadratic Functions

3.1 Linear Functions and Their Properties Assess Your Understanding p.124
3.2 Linear Models: Building Linear Functions from Data Assess Your Understanding p.131
3.3 Quadratic Functions and Their Properties Assess Your Understanding p.143
3.4 Build Quadratic Models from Verbal Descriptions and from Data Assess Your Understanding p.151
3.5 Inequalities Involving Quadratic Functions Assess Your Understanding p.158
Review Exercises p.160
Chapter Test p.162
Cumulative Review p.163

Chapter 4

Polynomial And Rational Functions

4.1 Polynomial Functions Assess Your Understanding p.183
4.2 Properties of Rational Functions Assess Your Understanding p.196
4.3 The Graph of a Rational Function Assess Your Understanding p.211
4.4 Polynomial and Rational Inequalities Assess Your Understanding p.217
4.5 The Real Zeros of a Polynomial Function Assess Your Understanding p.231
4.6 Complex Zeros; Fundamental Theorem of Algebra Assess Your Understanding p.238
Review Exercises p.240
Cumulative Review p.243
Chapter Test p.243

Chapter 5

Exponential And Logarithmic Functions

5.1 Composite Functions Assess Your Understanding p.252
5.2 One-to-One Functions; Inverse Functions Assess Your Understanding p.263
5.3 Exponential Functions Assess Your Understanding p.278
5.4 Logarithmic Functions Assess Your Understanding p.292
5.5 Properties of Logarithms Assess Your Understanding p.303
5.6 Logarithmic and Exponential Equations Assess Your Understanding p.309
5.7 Financial Models Assess Your Understanding p.318
5.8 Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models Assess Your Understanding p.330
5.9 Building Exponential, Logarithmic, and Logistic Models from Data Assess Your Understanding p.336
Review Exercises p.342
Chapter Test p.346
Cumulative Review p.346

Chapter 6

Trigonometric Functions

6.1 Angles and Their Measure Assess Your Understanding p.359
6.2 Trigonometric Functions: Unit Circle Approach Assess Your Understanding p.375
6.3 Properties of the Trigonometric Functions Assess Your Understanding p.390
6.4 Graphs of the Sine and Cosine Functions Assess Your Understanding p.403
6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions Assess Your Understanding p.413
6.6 Phase Shift; Sinusoidal Curve Fitting Assess Your Understanding p.424
Review Exercises p.430
Chapter Test p.432
Cumulative Review p.433

Chapter 7

Analytic Trigonometry

7.1 The Inverse Sine, Cosine, and Tangent Functions Assess Your Understanding p.445
7.2 The Inverse Trigonometric Functions (Continued) Assess Your Understanding p.452
7.3 Trigonometric Equations Assess Your Understanding p.460
7.4 Trigonometric Identities Assess Your Understanding p.469
7.5 Sum and Difference Formulas Assess Your Understanding p.481
7.6 Double-angle and Half-angle Formulas Assess Your Understanding p.491
7.7 Product-to-Sum and Sum-to-Product Formulas Assess Your Understanding p.496
Review Exercises p.499
Chapter Test p.502
Cumulative Review p.502

Chapter 8

Applications Of Trigonometric Functions

8.1 Right Triangle Trigonometry; Applications Assess Your Understanding p.512
8.2 The Law of Sines Assess Your Understanding p.528
8.3 The Law of Cosines Assess Your Understanding p.531
8.4 Area of a Triangle Assess Your Understanding p.537
8.5 Simple Harmonic Motion; Damped Motion; Combining Waves Assess Your Understanding p.547
Review Exercises p.551
Chapter Test p.554
Cumulative Review p.555

Chapter 9

Polar Coordinates; Vectors

9.1 Polar Coordinates Assess Your Understanding p.565
9.2 Polar Equations and Graphs Assess Your Understanding p.579
9.3 The Complex Plane; De Moivre's Theorem Assess Your Understanding p.588
9.4 Vectors Assess Your Understanding p.600
9.5 The Dot Product Assess Your Understanding p.609
9.6 Vectors in Space Assess Your Understanding p.618
9.7 The Cross Product Assess Your Understanding p.624
Review Exercises p.626
Chapter Test p.629
Cumulative Review p.629

Chapter 10

Analytic Geometry

10.2 The Parabola Assess Your Understanding p.639
10.3 The Ellipse Assess Your Understanding p.649
10.4 The Hyperbola Assess Your Understanding p.662
10.5 Rotation of Axes; General Form of a Conic Assess Your Understanding p.671
10.6 Polar Equations of Conics Assess Your Understanding p.677
10.7 Plane Curves and Parametric Equations Assess Your Understanding p.688
Review Exercises p.692
Cumulative Review p.694
Chapter Test p.694

Chapter 11

Systems Of Equations And Inequalities

11.1 Systems of Linear Equations: Substitution and Elimination Assess Your Understanding p.708
11.2 Systems of Linear Equations: Matrices Assess Your Understanding p.723
11.3 Systems of Linear Equations: Determinants Assess Your Understanding p.734
11.4 Matrix Algebra Assess Your Understanding p.750
11.5 Partial Fraction Decomposition Assess Your Understanding p.760
11.6 Systems of Nonlinear Equations Assess Your Understanding p.766
11.7 Systems of Inequalities Assess Your Understanding p.775
11.8 Linear Programming Assess Your Understanding p.782
Review Exercises p.785
Chapter Test p.789
Cumulative Review p.790

Chapter 12

Sequences; Induction; The Binomial Theorem

12.1 Sequences Assess Your Understanding p.799
12.2 Arithmetic Sequences Assess Your Understanding p.807
12.3 Geometric Sequences; Geometric Series Assess Your Understanding p.817
12.4 Mathematical Induction Assess Your Understanding p.823
12.5 The Binomial Theorem Assess Your Understanding p.829
Review Exercises p.831
Chapter Test p.833
Cumulative Review p.833

Chapter 13

Counting And Probability

13.1 Counting Assess Your Understanding p.840
13.2 Permutations and Combinations Assess Your Understanding p.847
13.3 Probability Assess Your Understanding p.857
Review Exercises p.861
Chapter Test p.862
Cumulative Review p.863

Chapter 14

A Preview Of Calculus: The Limit, Derivative, ...

14.1 Finding Limits Using Tables and Graphs Assess Your Understanding p.869
14.2 Algebra Techniques for Finding Limits Assess Your Understanding p.877
14.3 One-sided Limits; Continuous Functions Assess Your Understanding p.883
14.4 The Tangent Problem; The Derivative Assess Your Understanding p.890
14.5 The Area Problem; The Integral Assess Your Understanding p.897
Review Exercises p.899
Chapter Test p.902
Sullivan Precalculus, 9th Edition

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