A Graphical Approach to College Algebra, 7th edition

  • John Hornsby
  • Margaret L. Lial
  • Gary K. Rockswold

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ISBN-13:  9780137399918

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The Graphical Approach series by Hornsby, Lial, and Rockswold helps you gain a deep visual and graphical understanding of math and make a stronger connection to the mathematical world around you.

You will:

  1. Examine the nature of the graph
  2. Solve a typical equation analytically and graphically
  3. Solve the related inequality analytically and graphically
  4. Apply analytic and graphical methods to solve an application.

Pearson eText is an easy-to-use digital textbook. Download the mobile app to learn on the go — even offline. Make it your own by adding highlights and notes. At the end of your subscription, you can opt to renew access to your Pearson eText and personalized notes.

Table of contents

1. Linear Functions, Equations, and Inequalities

1.1 Real Numbers and the Rectangular Coordinate System

1.2 Introduction to Relations and Functions

Reviewing Basic Concepts (Sections 1.1–1.2)

1.3 Linear Functions

1.4 Equations of Lines and Linear Models

Reviewing Basic Concepts (Sections 1.3–1.4)

1.5 Linear Equations and Inequalities

Unifying Linear Functions

1.6 Applications of Linear Functions

Reviewing Basic Concepts (Sections 1.5–1.6)


Review Exercises


2. Analysis of Graphs of Functions

2.1 Graphs of Basic Functions and Relations; Symmetry

2.2 Vertical and Horizontal Shifts of Graphs

2.3 Stretching, Shrinking, and Reflecting Graphs

Reviewing Basic Concepts (Sections 2.1–2.3)

2.4 Absolute Value Functions

Unifying Absolute Value Functions

2.5 Piecewise-Defined Functions

2.6 Operations and Composition

Reviewing Basic Concepts (Sections 2.4–2.6)


Review Exercises


3. Quadratic Functions

3.1 Complex Numbers

3.2 Quadratic Functions and Graphs

Reviewing Basic Concepts (Sections 3.1–3.2)

3.3 Quadratic Equations and Inequalities

Unifying Quadratic Functions

3.4 Applications of Quadratic Functions and Models

Reviewing Basic Concepts (Sections 3.3–3.4)


Review Exercises


4. Polynomial Functions of Higher Degree

4.1 Graphs of Polynomial Functions

4.2 Topics in the Theory of Polynomial Functions (I)

Reviewing Basic Concepts (Sections 4.1–4.2)

4.3 Topics in the Theory of Polynomial Functions (II)

4.4 Polynomial Equations, Inequalities, Applications, and Models

Reviewing Basic Concepts (Sections 4.3–4.4)

Unifying Polynomial Functions


Review Exercises


5. Rational, Power, and Root Functions

5.1 Rational Functions and Graphs (I)

5.2 Rational Functions and Graphs (II)

5.3 Rational Equations, Inequalities, Models, and Applications

5.4 Functions Defined by Powers and Roots

5.5 Equations, Inequalities, and Applications Involving Root Functions

Reviewing Basic Concepts (Sections 5.4–5.5)

Unifying Root Functions


Review Exercises


6. Inverse, Exponential, and Logarithmic Functions

6.1 Inverse Functions

6.2 Exponential Functions

6.3 Logarithms and Their Properties

6.4 Logarithmic Functions

6.5 Exponential and Logarithmic Equations and Inequalities

6.6 Further Applications and Modeling with Exponential and Logarithmic Functions

Reviewing Basic Concepts (Sections 6.4–6.6)


Review Exercises


7. Systems and Matrices

7.1 Systems of Equations

7.2 Solution of Linear Systems in Three Variables

7.3 Solution of Linear Systems by Row Transformations

Reviewing Basic Concepts (Sections 7.1–7.3)

7.4 Matrix Properties and Operations

7.5 Determinants and Cramer’s Rule

7.6 Solution of Linear Systems by Matrix Inverses

Reviewing Basic Concepts (Sections 7.4–7.6)

7.7 Systems of Inequalities and Linear Programming

7.8 Partial Fractions

Reviewing Basic Concepts (Sections 7.7–7.8)


Review Exercises


8. Conic Sections, Nonlinear Systems, and Parametric Equations

8.1 Circles Revisited and Parabolas

8.2 Ellipses and Hyperbolas

Reviewing Basic Concepts (Sections 8.1–8.2)

8.3 The Conic Sections and Nonlinear Systems

8.4 Introduction to Parametric Equations

Reviewing Basic Concepts (Sections 8.3–8.4)


Review Exercises


9. Further Topics in Algebra

9.1 Sequences and Series

9.2 Arithmetic Sequences and Series

9.3 Geometric Sequences and Series

Reviewing Basic Concepts (Sections 9.1–9.3)

9.4 Counting Theory

9.5 The Binomial Theorem

Reviewing Basic Concepts (Sections 9.4–9.5)

9.6 Mathematical Induction

9.7 Probability

Reviewing Basic Concepts (Sections 9.6–9.7)


Review Exercises


R. Review: Basic Algebraic Concepts

R.2 Review of Exponents and Polynomials

R.3 Review of Factoring

R.4 Review of Rational Expressions

R.5 Review of Negative and Rational Exponents

R.6 Review of Radicals


Appendix: Formulas from Geometry

Instructor’s Answers

Answers to Selected Exercises*


*In the AIE, Instructor’s Answers replaces Answers to Selected Exercises.

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Published by Pearson (January 12th 2018) - Copyright © 2019