# Algebra and Trigonometry Enhanced with Graphing Utilities, 6th Edition ISBN: 9780321784834
Author: Pearson
Published: 2012

## Chapters: 1234567891011121314

### Chapter 1

Graphs, Equations, And Inequalities (More story about how to prepare friendship speech)

### Chapter 2

Graphs

 2.1 Intercepts; Symmetry; Graphing Key Equations Assess Your Understanding p.169 2.2 Lines Assess Your Understanding p.183 2.3 Circles Assess Your Understanding p.192 2.4 Variation Assess Your Understanding p.198 Review Exercises p.201 Chapter Test p.203 Cumulative Review p.203

### Chapter 3

Functions And Their Graphs

 3.1 Functions Assess Your Understanding p.216 3.2 The Graph of a Function Assess Your Understanding p.224 3.3 Properties of Functions Assess Your Understanding p.237 3.4 Library of Functions; Piecewise-defined Functions Assess Your Understanding p.248 3.5 Graphing Techniques: Transformations Assess Your Understanding p.260 3.6 Mathematical Models: Building Functions Assess Your Understanding p.267 Review Exercises p.272 Chapter Test p.273 Cumulative Review p.274

### Chapter 4

Linear And Quadratic Functions

 4.1 Linear Functions and Their Properties Assess Your Understanding p.284 4.2 Linear Models: Building Linear Functions from Data Assess Your Understanding p.291 4.3 Quadratic Functions and Their Properties Assess Your Understanding p.303 4.4 Build Quadratic Models from Verbal Descriptions and Data Assess Your Understanding p.312 4.5 Inequalities Involving Quadratic Functions Assess Your Understanding p.319 Review Exercises p.321 Chapter Test p.323 Cumulative Review p.324

### Chapter 5

Polynomial And Rational Functions

 5.1 Polynomial Functions and Models Assess Your Understanding p.341 5.2 The Real Zeros of a Polynomial Function Assess Your Understanding p.357 5.3 Complex Zeros; Fundamental Theorem of Algebra Assess Your Understanding p.363 5.4 Properties of Rational Functions Assess Your Understanding p.372 5.5 The Graph of a Rational Function Assess Your Understanding p.382 5.6 Polynomial and Rational Inequalities Assess Your Understanding p.389 Review Exercises p.392 Chapter Test p.394 Cumulative Review p.395

### Chapter 6

Exponential And Logarithmic Functions

 6.1 Composite Functions Assess Your Understanding p.404 6.2 One-to-One Functions; Inverse Functions Assess Your Understanding p.415 6.3 Exponential Functions Assess Your Understanding p.430 6.4 Logarithmic Functions Assess Your Understanding p.445 6.5 Properties of Logarithms Assess Your Understanding p.456 6.6 Logarithmic and Exponential Equations Assess Your Understanding p.463 6.7 Financial Models Assess Your Understanding p.472 6.8 Exponential Growth and Decay; Newton’s Law; Logistic Growth and Decay Models Assess Your Understanding p.483 6.9 Building Exponential, Logarithmic, and Logistical Models from Data Assess Your Understanding p.490 Review Exercises p.496 Chapter Test p.499 Cumulative Review p.500

### Chapter 7

Trigonometric Functions

 7.1 Angles and Their Measure Assess Your Understanding p.512 7.2 Right Triangle Trigonometry Assess Your Understanding p.524 7.3 Computing the Values of Trigonometric Functions of Acute Angles Assess Your Understanding p.534 7.4 Trigonometric Functions of General Angles Assess Your Understanding p.547 7.5 Unit Circle Approach: Properties of the Trigonometric Functions Assess Your Understanding p.558 7.6 Graphs of the Sine and Cosine Functions Assess Your Understanding p.570 7.7 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions Assess Your Understanding p.580 7.8 Phase Shift; Sinusoidal Curve Fitting Assess Your Understanding p.590 Review Exercises p.596 Chapter Test p.598 Cumulative Review p.599

### Chapter 8

Analytic Trigonometry

 8.1 The Inverse Sine, Cosine, and Tangent Functions Assess Your Understanding p.612 8.2 The Inverse Trigonometric Functions (Continued) Assess Your Understanding p.619 8.3 Trigonometric Equations Assess Your Understanding p.626 8.4 Trigonometric Identities Assess Your Understanding p.635 8.5 Sum and Difference Formulas Assess Your Understanding p.647 8.6 Double-angle and Half-angle Formulas Assess Your Understanding p.657 8.7 Product-to-Sum and Sum-to-Product Formulas Assess Your Understanding p.662 Review Exercises p.665 Cumulative Review p.667 Chapter Test p.667

### Chapter 9

Applications Of Trigonometric Functions

 9.1 Applications Involving Right Triangles Assess Your Understanding p.673 9.2 The Law of Sines Assess Your Understanding p.682 9.3 The Law of Cosines Assess Your Understanding p.689 9.4 Area of a Triangle Assess Your Understanding p.695 9.5 Simple Harmonic Motion; Damped Motion; Combining Waves Assess Your Understanding p.704 Review Exercises p.708 Chapter Test p.709 Cumulative Review p.710

### Chapter 10

Polar Coordinates; Vectors

 10.1 Polar Coordinates Assess Your Understanding p.721 10.2 Polar Equations and Graphs Assess Your Understanding p.736 10.3 The Complex Plane; De Moivre’s Theorem Assess Your Understanding p.745 10.4 Vectors Assess Your Understanding p.757 10.5 The Dot Product Assess Your Understanding p.765 Review Exercises p.768 Chapter Test p.770 Cumulative Review p.771

### Chapter 11

Analytic Geometry

 11.2 The Parabola Assess Your Understanding p.781 11.3 The Ellipse Assess Your Understanding p.791 11.4 The Hyperbola Assess Your Understanding p.805 11.5 Rotation of Axes; General Form of a Conic Assess Your Understanding p.814 11.6 Polar Equations of Conics Assess Your Understanding p.821 11.7 Plane Curves and Parametric Equations Assess Your Understanding p.832 Review Exercises p.836 Chapter Test p.838 Cumulative Review p.838

### Chapter 12

Systems Of Equations And Inequalities

 12.1 Systems of Linear Equations: Substitution and Elimination Assess Your Understanding p.851 12.2 Systems of Linear Equations: Matrices Assess Your Understanding p.866 12.3 Systems of Linear Equations: Determinants Assess Your Understanding p.878 12.4 Matrix Algebra Assess Your Understanding p.893 12.5 Partial Function Decomposition Assess Your Understanding p.902 12.6 Systems of Nonlinear Equations Assess Your Understanding p.910 12.7 Systems of Inequalties Assess Your Understanding p.920 12.8 Linear Programming Assess Your Understanding p.927 Review Exercises p.931 Chapter Test p.933 Cumulative Review p.934

### Chapter 13

Sequences; Induction; The Binomial Theorem

 13.1 Sequences Assess Your Understanding p.946 13.2 Arithmetic Sequences Assess Your Understanding p.954 13.3 Geometric Sequences; Geometric Series Assess Your Understanding p.962 13.4 Mathematical Induction Assess Your Understanding p.968 13.5 The Binomial Theorem Assess Your Understanding p.974 Review Exercises p.976 Chapter Test p.977 Cumulative Review p.978

### Chapter 14

Counting And Probability

 14.1 Counting Assess Your Understanding p.985 14.2 Permutations and Combinations Assess Your Understanding p.992 14.3 Probability Assess Your Understanding p.1002 Review Exercises p.1006 Chapter Test p.1007 Cumulative Review p.1008

### Chapter R

Review

 R.1 Real Numbers Assess Your Understanding p.15 R.2 Algebra Essentials Assess Your Understanding p.27 R.3 Geometry Essentials Assess Your Understanding p.36 R.4 Polynomials Exercises p.48 R.5 Factoring Polynomials Assess Your Understanding p.57 R.6 Synthetic Division Exercises p.62 R.7 Rational Expressions Assess Your Understanding p.71 R.8 nth Roots; Rational Exponents Assess Your Understanding p.78