9780135811924

Summary

This print textbook is available for students to rent for their classes. The Pearson print rental program provides students with affordable access to learning materials, so they come to class ready to succeed.

For courses in College Algebra.

Prepare, practice, review

The proven approach of Michael Sullivan and Michael Sullivan III focuses students on the fundamental skills needed for the course: prepare for class, practice with homework, and review the concepts. The Enhanced with Graphing Utilities Series offers a thorough integration of graphing utilities into topics, allowing students to explore mathematical concepts and encounter ideas usually studied in later courses. Many examples show solutions using algebra side by side with graphing techniques.

In the 8th Edition of the series, all exercises and examples in the texts have been reviewed and updated as needed. The authors have added new problem-solving and review features – including Interactive Figure exercises that get students thinking visually and conceptually, and Integrated Review within MyLab™ Math for students who need to revisit prerequisite topics.

Personalize learning with MyLab Math

By combining trusted author content with digital tools and a flexible platform, MyLab personalizes the learning experience and improves results for each student.

Note: You are purchasing a standalone product; MyLab Math does not come packaged with this content. Students, if interested in purchasing this title with MyLab Math, ask your instructor to confirm the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.

0135811929 / 9780135811924 College Algebra Enhanced with Graphing Utilities [Rental Edition], 8/e

Author Biography

Michael Sullivan, Emeritus Professor of Mathematics at Chicago State University, received a Ph.D. in mathematics from the Illinois Institute of Technology. Mike taught at Chicago State for 35 years before recently retiring. He is a native of Chicago’s South Side and divides his time between Oak Lawn, Illinois, and Naples, Florida.

Mike is a member of the American Mathematical Society and the Mathematical Association of America. He is a past president of the Text and Academic Authors Association and is currently Treasurer of its Foundation. He is a member of the TAA Council of Fellows, and was awarded the TAA Mike Keedy award in 1997 and the Lifetime Achievement Award in 2007. In addition, he represents TAA on the Authors Coalition of America. He has been writing textbooks for more than 35 years and currently has 15 books in print, 12 with Pearson Education. When not writing, he enjoys tennis, golf, gardening, and travel.

Mike has four children: Kathleen teaches college mathematics; Michael III teaches college mathematics and is his co-author on two precalculus series; Dan works in publishing; and Colleen teaches middle school and secondary school mathematics. Twelve grandchildren round out the family.

Mike Sullivan III is a professor of mathematics at Joliet Junior College. He holds graduate degrees from DePaul University in both mathematics and economics. Mike is an author or co-author on more than 20 books, including a statistics book and a developmental mathematics series. Mike is the father of three children and an avid golfer, who tries to spend as much of his limited free time as possible on the golf course.

R. Review

R.1 Real Numbers

R.2 Algebra Essentials

R.3 Geometry Essentials

R.4 Polynomials

R.5 Factoring Polynomials

R.6 Synthetic Division

R.7 Rational Expressions

R.8 nth Roots; Rational Exponents

1. Graphs, Equations, and Inequalities

1.1 Graphing Utilities; Introduction to Graphing Equations

1.2 Solving Equations Using a Graphing Utility; Linear and Rational Equations

1.3 Quadratic Equations

1.4 Complex Numbers; Quadratic Equations in the Complex Number System

1.5 Radical Equations; Equations Quadratic in Form; Absolute Value Equations Factorable Equations

1.6 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Jobs

1.7 Solving Inequalities

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

2. Graphs

2.1 The Distance and Midpoint Formulas

2.2 Intercepts; Symmetry; Graphing Key Equations

2.3 Lines

2.4 Circles

2.5 Variation

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

3. Functions and their Graphs

3.1 Functions

3.2 The Graph of a Function

3.3 Properties of Functions

3.4 Library of Functions; Piecewise-defined Functions

3.5 Graphing Techniques: Transformations

3.6 Mathematical Models: Building Functions

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

4. Linear and Quadratic Functions

4.1 Properties of Linear Functions and Linear Models

4.2 Building Linear Models from Data

4.3 Quadratic Functions and Their Properties

4.4 Build Quadratic Models from Verbal Descriptions and Data

4.5 Inequalities Involving Quadratic Functions

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

5. Polynomial and Rational Functions

5.1 Polynomial Functions

5.2 The Graph of a Polynomial Function and Models

5.3 The Real Zeros of a Polynomial Function

5.4 Complex Zeros; Fundamental Theorem of Algebra

5.5 Properties of Rational Functions

5.6 The Graph of a Rational Function

5.7 Polynomial and Rational Inequalities

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

6. Exponential and Logarithmic Functions

6.1 Composite Functions

6.2 One-to-One Functions; Inverse Functions

6.3 Exponential Functions

6.4 Logarithmic Functions

6.5 Properties of Logarithms

6.6 Logarithmic and Exponential Equations

6.7 Financial Models

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

6.9 Building Exponential, Logarithmic, and Logistic Models from Data

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

7. Analytic Geometry

7.1 Conics

7.2 The Parabola

7.3 The Ellipse

7.4 The Hyperbola

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

8. Systems of Equations and Inequalities

8.1 Systems of Linear Equations: Substitution and Elimination

8.2 Systems of Linear Equations: Matrices

8.3 Systems of Linear Equations: Determinants

8.4 Matrix Algebra

8.5 Partial Fraction Decomposition

8.6 Systems of Nonlinear Equations

8.7 Systems of Inequalities

8.8 Linear Programming

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

9. Sequences; Induction; the Binomial Theorem

9.1 Sequences

9.2 Arithmetic Sequences

9.3 Geometric Sequences; Geometric Series

9.4 Mathematical Induction

9.5 The Binomial Theorem

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

10. Counting and Probability

10.1 Counting

10.2 Permutations and Combinations

10.3 Probability

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

Answers

Credits

Index

Supplemental Materials

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