## Description

The **Graphs and Models** series by Bittinger, Beecher, Ellenbogen, and Penna is known for helping students “see the math” through its focus on visualization and technology. These texts continue to maintain the features that have helped students succeed for years: focus on functions, visual emphasis, side-by-side algebraic and graphical solutions, and real-data applications.

With the

**Fifth Edition**, visualization is taken to a new level with technology. The authors also integrate

**smartphone apps**, encouraging readers to visualize the math. In addition, ongoing review has been added with new

**Mid-Chapter Mixed Review**exercise sets and new

**Study Guide summaries**to help students prepare for tests.

## Table of Contents

Preface

Guide to Success

**R. Basic Concepts of Algebra**

R.1 The Real-Number System

R.2 Integer Exponents, Scientific Notation, and Order of Operations

R.3 Addition, Subtraction, and Multiplication of Polynomials

R.4 Factoring

R.5 The Basics of Equation Solving

R.6 Rational Expressions

R.7 Radical Notation and Rational Exponents

**1. Graphs, Functions, and Models**

1.1 Introduction to Graphing

1.2 Functions and Graphs

1.3 Linear Functions, Slope, and Applications

1.4 Equations of Lines and Modeling

1.5 Linear Equations, Functions, Zeros, and Applications

1.6 Solving Linear Inequalities

**2. More on Functions**

2.1 Increasing, Decreasing, and Piecewise Functions; Applications

2.2 The Algebra of Functions

2.3 The Composition of Functions

2.4 Symmetry

2.5 Transformations

2.6 Variation and Applications

**3. Quadratic Functions and Equations; Inequalities**

3.1 The Complex Numbers

3.2 Quadratic Equations, Functions, Zeros, and Models

3.3 Analyzing Graphs of Quadratic Functions

3.4 Solving Rational Equations and Radical Equations

3.5 Solving Equations and Inequalities with Absolute Value

**4. Polynomial and Rational Functions**

4.1 Polynomial Functions and Modeling

4.2 Graphing Polynomial Functions

4.3 Polynomial Division; The Remainder Theorem and the Factor Theorem

4.4 Theorems about Zeros of Polynomial Functions

4.5 Rational Functions

4.6 Polynomial Inequalities and Rational Inequalities

**5. Exponential and Logarithmic Functions**

5.1 Inverse Functions

5.2 Exponential Functions and Graphs

5.3 Logarithmic Functions and Graphs

5.4 Properties of Logarithmic Functions

5.5 Solving Exponential and Logarithmic Equations

5.6 Applications and Models: Growth and Decay; Compound Interest

**6. The Trigonometric Functions**

6.1 Trigonometric Functions of Acute Angles

6.2 Applications of Right Triangles

6.3 Trigonometric Functions of Any Angle

6.4 Radians, Arc Length, and Angular Speed

6.5 Circular Functions: Graphs and Properties

6.6 Graphs of Transformed Sine and Cosine Functions

**7. Trigonometric Identities, Inverse Functions, and Equations**

7.1 Identities: Pythagorean and Sum and Difference

7.2 Identities: Cofunction, Double-Angle, and Half-Angle

7.3 Proving Trigonometric Identities

7.4 Inverses of the Trigonometric Functions

7.5 Solving Trigonometric Equations

**8. Applications of Trigonometry**

8.1 The Law of Sines

8.2 The Law of Cosines

8.3 Complex Numbers: Trigonometric Form

8.4 Polar Coordinates and Graphs

8.5 Vectors and Applications

8.6 Vector Operations

**9. Systems of Equations and Matrices**

9.1 Systems of Equations in Two Variables

9.2 Systems of Equations in Three Variables

9.3 Matrices and Systems of Equations

9.4 Matrix Operations

9.5 Inverses of Matrices

9.6 Determinants and Cramer's Rule

9.7 Systems of Inequalities and Linear Programming

9.8 Partial Fractions

**10. Analytic Geometry Topics**

10.1 The Parabola

10.2 The Circle and the Ellipse

10.3 The Hyperbola

10.4 Nonlinear Systems of Equations and Inequalities

10.5 Rotation of Axes

10.6 Polar Equations of Conics

10.7 Parametric Equations

**11. Sequences, Series, and Combinatorics**

11.1 Sequences and Series

11.2 Arithmetic Sequences and Series

11.3 Geometric Sequences and Series

11.4 Mathematical Induction

11.5 Combinatorics: Permutations

11.6 Combinatorics: Combinations

11.7 The Binomial Theorem

11.8 Probability

Photo Credits

Answers

Index of Applications

Index

Enhance your learning experience with ** text-specific** study materials.

ISBN-13: 978-0-321-79088-0

$29.40 | Add to Cart

## Purchase Info

### Digital Choices ?

MyLab & Mastering with Pearson eText is a complete digital substitute for a print value pack at a lower price.

#### MyLab & Mastering ?

MyLab & Mastering products deliver customizable content and highly personalized study paths, responsive learning tools, and real-time evaluation and diagnostics. MyLab & Mastering products help move students toward the moment that matters most—the moment of true understanding and learning.

Buy AccessNEW MyMathLab with Pearson eText -- Instant Access -- for Algebra and Trigonometry: Graphs and Models, 5th Edition

$95.70 | ISBN-13: 978-0-321-79090-3

Buy AccessMathXL -- Instant Access -- for Algebra and Trigonometry: Graphs and Models, 5th Edition

$85.80 | ISBN-13: 978-0-321-79091-0

#### eTextbook ?

With CourseSmart eTextbooks and eResources, you save up to 60% off the price of new print textbooks, and can switch between studying online or offline to suit your needs.

Once you have purchased your eTextbooks and added them to your CourseSmart bookshelf, you can access them anytime, anywhere.

Algebra and Trigonometry, CourseSmart eTextbook, 5th Edition

$96.99 | ISBN-13: 978-0-321-79071-2

### Print Choices

#### Alternative Options ?

Click on the titles below to learn more about these options.

Algebra and Trigonometry: Graphs and Models, 5th Edition

$236.60 | ISBN-13: 978-0-321-78397-4

#### Loose Leaf Version ?

Books a la Carte are less-expensive, loose-leaf versions of the same textbook.

Precalculus, Books A La Carte Edition, Algebra and Trigonometry: Graphs and Models, 5th Edition

$154.00 | ISBN-13: 978-0-321-79101-6