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.17
1.3 Lines Assess Your Understanding p.31
1.4 Circles Assess Your Understanding p.39
Review Exercises p.43
Chapter Test p.44

Chapter 2

Functions And Their Graphs

2.1 Functions Assess Your Understanding p.59
2.2 The Graph of a Function Assess Your Understanding p.66
2.3 Properties of Functions Assess Your Understanding p.78
2.4 Library of Functions; Piecewise-defined Functions Assess Your Understanding p.88
2.5 Graphing Techniques: Transformations Assess Your Understanding p.101
2.6 Mathematical Models: Building Functions Assess Your Understanding p.107
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 Building Linear Functions from Data Assess Your Understanding p.130
3.3 Quadratic Functions and Their Properties Assess Your Understanding p.142
3.4 Quadratic Models; Building Quadratic Functions from Data Assess Your Understanding p.150
3.5 Inequalities Involving Quadratic Functions Assess Your Understanding p.156
Review Exercises p.158
Chapter Test p.160
Cumulative Review p.161

Chapter 4

Polynomial And Rational Functions

4.1 Polynomial Functions and Models Assess Your Understanding p.179
4.2 Properties of Rational Functions Assess Your Understanding p.192
4.3 The Graph of a Rational Function Assess Your Understanding p.206
4.4 Polynomial and Rational Inequalities Assess Your Understanding p.213
4.5 The Real Zeros of a Polynomial Function Assess Your Understanding p.226
4.6 Complex Zeros; Fundamental Theorem of Algebra Assess Your Understanding p.233
Review Exercises p.236
Chapter Test p.238
Cumulative Review p.238

Chapter 5

Exponential And Logarithmic Functions

5.1 Composite Functions Assess Your Understanding p.247
5.2 One-to-One Functions; Inverse Functions Assess Your Understanding p.259
5.3 Exponential Functions Assess Your Understanding p.272
5.4 Logarithmic Functions Assess Your Understanding p.286
5.5 Properties of Logarithms Assess Your Understanding p.297
5.6 Logarithmic and Exponential Equations Assess Your Understanding p.303
5.7 Compound Interest Assess Your Understanding p.312
5.8 Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models Assess Your Understanding p.324
5.9 Building Exponential, Logarithmic, and Logistic Models from Data Assess Your Understanding p.331
Review Exercises p.336
Chapter Test p.340
Cumulative Review p.341

Chapter 6

Trigonometric Functions

6.1 Angles and Their Measure Assess Your Understanding p.353
6.2 Trigonometric Functions: Unit Circle Approach Assess Your Understanding p.369
6.3 Properties of the Trigonometric Functions Assess Your Understanding p.383
6.4 Graphs of the Sine and Cosine Functions Assess Your Understanding p.396
6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions Assess Your Understanding p.406
6.6 Phase Shift; Sinusoidal Curve Fitting Assess Your Understanding p.416
Review Exercises p.421
Chapter Test p.424
Cumulative Review p.425

Chapter 7

Analytic Trigonometry

7.1 The Inverse Sine, Cosine, and Tangent Functions Assess Your Understanding p.437
7.2 The Inverse Trigonometric Functions (Continued) Assess Your Understanding p.444
7.3 Trigonometric Identities Assess Your Understanding p.450
7.4 Sum and Difference Formulas Assess Your Understanding p.460
7.5 Double-angle and Half-angle Formulas Assess Your Understanding p.469
7.6 Product-to-Sum and Sum-to-Product Formulas Assess Your Understanding p.474
7.7 Trigonometric Equations (I) Assess Your Understanding p.479
7.8 Trigonometric Equations (II) Assess Your Understanding p.487
Review Exercises p.490
Chapter Test p.492
Cumulative Review p.493

Chapter 8

Applications Of Trigonometric Functions

8.1 Applications Involving Right Triangles Assess Your Understanding p.504
8.2 The Law of Sines Assess Your Understanding p.515
8.3 The Law of Cosines Assess Your Understanding p.522
8.4 Area of a Triangle Assess Your Understanding p.528
8.5 Simple Harmonic Motion; Damped Motion; Combining Waves Assess Your Understanding p.538
Review Exercises p.541
Chapter Test p.545
Cumulative Review p.546

Chapter 9

Polar Coordinates; Vectors

9.1 Polar Coordinates Assess Your Understanding p.556
9.2 Polar Equations and Graphs Assess Your Understanding p.571
9.3 The Complex Plane; DeMoivre's Theorem Assess Your Understanding p.580
9.4 Vectors Assess Your Understanding p.591
9.5 The Dot Product Assess Your Understanding p.599
9.6 Vectors in Space Assess Your Understanding p.609
9.7 The Cross Product Assess Your Understanding p.615
Review Exercises p.617
Chapter Test p.620
Cumulative Review p.620

Chapter 10

Analytic Geometry

10.2 The Parabola Assess Your Understanding p.631
10.3 The Ellipse Assess Your Understanding p.641
10.4 The Hyperbola Assess Your Understanding p.653
10.5 Rotation of Axes; General Form of a Conic Assess Your Understanding p.662
10.6 Polar Equations of Conics Assess Your Understanding p.668
10.7 Plane Curves and Parametric Equations Assess Your Understanding p.679
Review Exercises p.683
Cumulative Review p.685
Chapter Test p.685

Chapter 11

Systems Of Equations And Inequalities

11.1 Systems of Linear Equations: Substitution and Elimination Assess Your Understanding p.699
11.2 Systems of Linear Equations: Matrices Assess Your Understanding p.714
11.3 Systems of Linear Equations: Determinants Assess Your Understanding p.725
11.4 Matrix Algebra Assess Your Understanding p.741
11.5 Partial Fraction Decomposition Assess Your Understanding p.749
11.6 Systems of Nonlinear Equations Assess Your Understanding p.756
11.7 Systems of Inequalities Assess Your Understanding p.764
11.8 Linear Programming Assess Your Understanding p.771
Review Exercises p.774
Chapter Test p.777
Cumulative Review p.778

Chapter 12

Sequences; Induction; The Binomial Theorem

12.1 Sequences Assess Your Understanding p.788
12.2 Arithmetic Sequences Assess Your Understanding p.796
12.3 Geometric Sequences; Geometric Series Assess Your Understanding p.806
12.4 Mathematical Induction Assess Your Understanding p.812
12.5 The Binomial Theorem Assess Your Understanding p.818
Review Exercises p.820
Chapter Test p.822
Cumulative Review p.822

Chapter 13

Counting And Probability

13.1 Counting Assess Your Understanding p.830
13.2 Permutations and Combinations Assess Your Understanding p.837
13.3 Probability Assess Your Understanding p.847
Review Exercises p.851
Chapter Test p.852
Cumulative Review p.853

Chapter 14

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

14.1 Finding Limits Using Tables and Graphs Assess Your Understanding p.859
14.2 Algebra Techniques for Finding Limits Assess Your Understanding p.867
14.3 One-sided Limits; Continuous Functions Assess Your Understanding p.873
14.4 The Tangent Problem; The Derivative Assess Your Understanding p.881
14.5 The Area Problem; The Integral Assess Your Understanding p.888
Review Exercises p.890
Chapter Test p.893
Not your textbook? Try these editions (see all)
Sullivan Precalculus, 9th Edition Sullivan Algebra & Trigonometry, 10th Edition Sullivan Algebra & Trigonometry, 9th Edition Sullivan Precalculus, 10th Edition Sullivan Algebra and Trigonometry, 8th Edition Sullivan Algebra and Trigonometry, 7th Edition

Precalculus Q&A

Search or ask your question...

NO MORE ADS!

Upgrade to pro for an ad free experience.
Faster! Cleaner! Better!

There was an error saving. Please reload the page.

Enter your math below

Preview

more about LaTeX helpful editing tips!
Place math
+