College Algebra: Enhanced with Graphing Utilities, 9th edition

  • Michael Sullivan
  • , Michael Sullivan

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The proven approach of Sullivan and Sullivan, highly experienced math instructors, focuses you on the fundamental skills you’ll need to succeed in your course: prepare for class, practice with homework, and review the concepts.  College Algebra: Enhanced with Graphing Utilities fully integrates graphing utilities into topics, allowing you to explore mathematical concepts and encounter ideas usually studied in later courses. Many examples show solutions using algebra side by side with graphing techniques. The text's approach to college algebra completely integrates graphing technology without sacrificing mathematical analysis and conceptualization. It offers 3 chapters of review material preceding the chapter on functions. After completing this text, you will be more prepared for trigonometry, finite mathematics, and business calculus.

The 9th Edition is revised and refined throughout, with updated Desmos and screen captures as well as TI-84 Plus CE screens; updates exercise sets with timely and relevant scenarios; adds a new Highlighting Contemporary Mathematicians feature, and much more.

Published by Pearson (May 28th 2025) - Copyright © 2026

ISBN-13: 9780135376560

Subject: Precalculus, College Algebra & Trigonometry

Category: College Algebra

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