# Precalculus Enhanced with Graphing Utilities, 7th edition

Published by Pearson (March 3rd 2016) - Copyright © 2017

7th edition

## Overview

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*This package includes MyMathLab ^{®}.*

**Prepare, Practice, Review**

**The Sullivan’s** time-tested approach focuses students on the fundamental skills they need for the course: *preparing *for class, *practicing *with homework, and *reviewing* the concepts. The **Enhanced with Graphing Utilities Series** has evolved to meet today’s course needs by integrating the usage of graphing calculators, active-learning, and technology in new ways to help students be successful in their course, as well as in their future endeavors.

In the Seventh Edition, there are several new features that appear in both the text and MyMathLab. **Retain Your Knowledge** problems offer the type of “final exam material” that students can use to maintain their skills throughout each chapter.

**Personalize learning with MyMathLab**

MyMathLab is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts. **NEW! Guided Lecture Notes** help students take thorough, organized, and understandable notes during class or while they watch the Author in Action videos. They ask students to complete definitions, procedures, and examples based on the content of the videos and text.

0134265149 / 9780134265148 * Precalculus Enhanced with Graphing Utilities Plus NEW MyMathLab with Pearson eText -- Access Card Package

Package consists of:

- 0134119282 / 9780134119281 * Precalculus Enhanced with Graphing Utilities
- 0321431308 / 9780321431301 * MyMathLab -- Glue-in Access Card
- 0321654064 / 9780321654069 * MyMathLab Inside Star Sticker

## Table of contents

**1. Graphs**

1.1 The Distance and Midpoint Formulas; Graphing Utilities; Introduction to Graphing Equations

1.2 Intercepts; Symmetry; Graphing Key Equations

1.3 Solving Equations Using a Graphing Utility

1.4 Lines

1.5 Circles

Chapter Review

Chapter Test

Chapter Project

**2. Functions and Their Graphs**

2.1 Functions

2.2 The Graph of a Function

2.3 Properties of Functions

2.4 Library of Functions; Piecewise-defined Functions

2.5 Graphing Techniques: Transformations

2.6 Mathematical Models: Building Functions

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

**3. Linear and Quadratic Functions**

3.1 Properties of Linear Functions and Linear Models

3.2 Building Linear Models from Data

3.3 Quadratic Functions and Their Properties

3.4 Build Quadratic Models from Verbal Descriptions and From Data

3.5 Inequalities Involving Quadratic Functions

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

**4. Polynomial and Rational Functions**

4.1 Polynomial Functions and Models

4.2 The Real Zeros of a Polynomial Function

4.3 Complex Zeros; Fundamental Theorem of Algebra

4.4 Properties of Rational Functions

4.5 The Graph of a Rational Function

4.6 Polynomial and Rational Inequalities

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

**5. Exponential and Logarithmic Functions**

5.1 Composite Functions

5.2 One-to-One Functions; Inverse Functions

5.3 Exponential Functions

5.4 Logarithmic Functions

5.5 Properties of Logarithms

5.6 Logarithmic and Exponential Equations

5.7 Financial Models

5.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models

5.9 Building Exponential, Logarithmic, and Logistic Models from Data

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

**6. Trigonometric Functions**

6.1 Angles and Their Measure

6.2 Trigonometric Functions: A Unit Circle Approach

6.3 Properties of the Trigonometric Functions

6.4 Graphs of the Sine and Cosine Functions

6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions

6.6 Phase Shift; Sinusoidal Curve Fitting

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

**7. Analytic Trigonometry**

7.1 The Inverse Sine, Cosine, and Tangent Functions

7.2 The Inverse Trigonometric Functions (Continued)

7.3 Trigonometric Equations

7.4 Trigonometric Identities

7.5 Sum and Difference Formulas

7.6 Double-angle and Half-angle Formulas

7.7 Product-to-Sum and Sum-to-Product Formulas

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

**8. Applications of Trigonometric Functions**

8.1 Right Triangle Trigonometry; Applications

8.2 The Law of Sines

8.3 The Law of Cosines

8.4 Area of a Triangle

8.5 Simple Harmonic Motion; Damped Motion; Combining Waves

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

**9. Polar Coordinates; Vectors**

9.1 Polar Coordinates

9.2 Polar Equations and Graphs

9.3 The Complex Plane; DeMoivre’s Theorem

9.4 Vectors

9.5 The Dot Product

9.6 Vectors in Space

9.7 The Cross Product

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

**10. Analytic Geometry**

10.1 Conics

10.2 The Parabola

10.3 The Ellipse

10.4 The Hyperbola

10.5 Rotation of Axes; General Form of a Conic

10.6 Polar Equations of Conics

10.7 Plane Curves and Parametric Equations

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

**11. Systems of Equations and Inequalities**

11.1 Systems of Linear Equations: Substitution and Elimination

11.2 Systems of Linear Equations: Matrices

11.3 Systems of Linear Equations: Determinants

11.4 Matrix Algebra

11.5 Partial Fraction Decomposition

11.6 Systems of Nonlinear Equations

11.7 Systems of Inequalities

11.8 Linear Programming

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

**12. Sequences; Induction; The Binomial Theorem**

12.1 Sequences

12..2 Arithmetic Sequences

12.3 Geometric Sequences; Geometric Series

12.4 Mathematical Induction

12.5 The Binomial Theorem

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

**13. Counting and Probability**

13.1 Counting

13.2 Permutations and Combinations

13.3 Probability

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

**14. A Preview of Calculus: The Limit, Derivative, and Integral of a Fraction**

14.1 Finding Limits Using Tables and Graphs

14.2 Algebra Techniques for Finding Limits

14.3 One-sided Limits; Continuous Functions

14.4 The Tangent Problem; The Derivative

14.5 The Area Problem; The Integral

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

Appendix A

Appendix B

Answers

Index

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