# College Algebra: Concepts Through Functions, 3rd edition

Published by Pearson (January 13th 2014) - Copyright © 2015

3rd edition

ISBN-13: 9780321925749

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### What's included

## Overview

** College Algebra: Concepts Through Functions, Third Edition** focuses on the fundamentals: *preparation* for class, *practice with* homework, and *reviewing *of key concepts. ** **With the Concepts Through Functions series, the Sullivans expose students to functions in the first chapter and maintain a continuous theme of functions throughout the text. This approach ensures students master basic skills and develop the conceptual understanding they need for the course, ultimately preparing students for future math courses as well.

**KEY TOPICS:** A Prelude to Functions; Functions and Their Graphs; Linear and Quadratic Functions; Polynomial and Rational Functions; Exponential and Logarithmic Functions; Conics; Systems of Equations and Inequalities; Sequences; Induction; the Binomial Theorem; Counting and Probability; Review; Graphing Utilities

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**MARKET**: For all readers interested in precalculus.

## Table of contents

**Foundations: A Prelude to Functions**

F.1 The Distance and Midpoint Formulas

F.2 Graphs of Equations in Two Variables; Intercepts; Symmetry

F.3 Lines

F.4 Circles

**1. Functions and Their Graphs**

1.1 Functions

1.2 The Graph of a Function

1.3 Properties of Functions

1.4 Library of Functions; Piecewise-defined Functions

1.5 Graphing Techniques: Transformations

1.6 Mathematical Models: Constructing Functions

1.7 Building Mathematical Models Using Variation

Chapter Review

Chapter Test

Chapter Projects

**2. Linear and Quadratic Functions**

2.1 Properties of Linear Functions and Linear Models

2.2 Building Linear Models from Data

2.3 Quadratic Functions and Their Zeros

2.4 Properties of Quadratic Functions

2.5 Inequalities Involving Quadratic Functions

2.6 Building Quadratic Models from Verbal Descriptions and from Data

2.7 Complex Zeros of a Quadratic Function

2.8 Equations and Inequalities Involving the Absolute Value Function

Chapter Review

Chapter Test

Chapter Projects

Cumulative Review

**3. Polynomial and Rational Functions**

3.1 Polynomial Functions and Models

3.2 The Real Zeros of a Polynomial Function

3.3 Complex Zeros; Fundamental Theorem of Algebra

3.4 Properties of Rational Functions

3.5 The Graph of a Rational Function

3.6 Polynomial and Rational Inequalities

Chapter Review

Chapter Test

Chapter Projects

Cumulative Review

**4. Exponential and Logarithmic Functions**

4.1 Composite Functions

4.2 One-to-One Functions; Inverse Functions

4.3 Exponential Functions

4.4 Logarithmic Functions

4.5 Properties of Logarithms

4.6 Logarithmic and Exponential Equations

4.7 Compound Interest

4.8 Exponential Growth and Decay; Newton’s Law; Logistic Growth and Decay

4.9 Building Exponential, Logarithmic, and Logistic Functions from Data

Chapter Review

Chapter Test

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