## Description

**College Algebra in Context, Fourth Edition,** is ideal for students majoring in business, social sciences, and life sciences. The authors use modeling, applications, and real-data problems to develop skills, giving you the practice you need to become an adept problem solver in your future courses and career.

This revision maintains the authors’ focus on applying math in the real world through updated real-data applications. Features such as

**Group Activities**and

**Extended Applications**promote collaborative learning, improve communication and research skills, and foster critical thinking.

## Table of Contents

Contents

Preface

List of Supplements

To the Student

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

Algebra Toolbox

1.1 Functions and Models

1.2 Graphs of Functions

1.3 Linear Functions

1.4 Equations of Lines

Summary

Key Concepts and Formulas

Chapter 1 Skills Check

Chapter 1 Review

Group Activities/Extended Applications

**2. Linear Models, Equations, and Inequalities**

Algebra Toolbox

2.1 Algebraic and Graphical Solution of Linear Equations

2.2 Fitting Lines to Data Points: Modeling Linear Functions

2.3 Systems of Linear Equations in Two Variables

2.4 Solutions of Linear Inequalities

Summary

Key Concepts and Formulas

Chapter 2 Skills Check

Chapter 2 Review

Group Activities/Extended Applications

**3. Quadratic, Piecewise-Defined, and Power Functions**

Algebra Toolbox

3.1 Quadratic Functions; Parabolas

3.2 Solving Quadratic Equations

3.3 Piecewise-Defined Functions and Power Functions

3.4 Quadratic and Power Models

Summary

Key Concepts and Formulas

Chapter 3 Skills Check

Chapter 3 Review

Group Activities/Extended Applications

**4. Additional Topics with Functions**

Algebra Toolbox

4.1 Transformations of Graphs and Symmetry

4.2 Combining Functions; Composite Functions

4.3 One-to-One and Inverse Functions

4.4 Additional Equations and Inequalities

Summary

Key Concepts and Formulas

Chapter 4 Skills Check

Chapter 4 Review

Group Activities/Extended Applications

**5. Exponential and Logarithmic Functions**

Algebra Toolbox

5.1 Exponential Functions

5.2 Logarithmic Functions; Properties of Logarithms

5.3 Exponential and Logarithmic Equations

5.4 Exponential and Logarithmic Models

5.5 Exponential Functions and Investing

5.6 Annuities; Loan Repayment

5.7 Logistic and Gompertz Functions

Summary

Key Concepts and Formulas

Chapter 5 Skills Check

Chapter 5 Review

Group Activities/Extended Applications

**6. Higher-Degree Polynomial and Rational Functions**

Algebra Toolbox

6.1 Higher-Degree Polynomial Functions

6.2 Modeling with Cubic and Quartic Functions

6.3 Solution of Polynomial Equations

6.4 Polynomial Equations Continued; Fundamental Theorem of Algebra

6.5 Rational Functions and Rational Equations

6.6 Polynomial and Rational Inequalities

Summary

Key Concepts and Formulas

Chapter 6 Skills Check

Chapter 6 Review

Group Activities/Extended Applications

**7. Systems of Equations and Matrices**

Algebra Toolbox

7.1 Systems of Linear Equations in Three Variables

7.2 Matrix Solution of Systems of Linear Equations

7.3 Matrix Operations

7.4 Inverse Matrices; Matrix Equations

7.5 Systems of/onlinear Equations

Summary

Key Concepts and Formulas

Chapter 7 Skills Check

Chapter 7 Review

Group Activities/Extended Applications

**8. Special Topics: Systems of Inequalities and Linear Programming; Sequences and Series; Preparing for Calculus**

8.1 Systems of Inequalities

8.2 Linear Programming: Graphical Methods

8.3 Sequences and Discrete Functions

8.4 Series

8.5 Preparing for Calculus

Summary

Key Concepts and Formulas

Chapter 8 Skills Check

Chapter 8 Review

Group Activity/Extended Application

Appendix A: Basic Calculator Guide

Appendix B: Basic Guide to Excel 2003 and Excel 2010

Answers to Selected Exercises

Index

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