SOLUTIONS MANUAL
Complete Chapters
COLLEGE ALGEBRA
ENHANCED WITH GRAPHING
UTILITIES
NINTH EDITION
Michael Sullivan
Michael Sullivan, III
, Table Of Contents
Chapter R - Review
1. Graphs, Equations, and Inequalities
2. Graphs
3. Functions and Their Graphs
4. Linear and Quadratic Functions
5. Polynomial and Rational Functions
6. Exponential and Logarithmic Functions
7. Analytic Geometry
8. Systems of Equations and Inequalities
9. Sequences; Induction; the Binomial Theorem
10. Counting and Probability
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, Table of Contents
Chapter R Review
R.1 Real Numbers .......................................................................................................................... 1
R.2 Algebra Essentials ................................................................................................................... 5
R.3 Geometry Essentials .............................................................................................................. 11
R.4 Polynomials ........................................................................................................................... 16
R.5 Factoring Polynomials ........................................................................................................... 23
R.6 Synthetic Division ................................................................................................................. 28
R.7 Rational Expressions ............................................................................................................. 30
R.8 nth Roots; Rational Exponents .............................................................................................. 40
Chapter 1 Graphs, Equations, and Inequalities
1.1 Graphing Utilities; Introduction to Graphing Equations ....................................................... 50
1.2 Solving Equations Using a Graphing Utility; Linear and Rational Equations....................... 57
1.3 Quadratic Equations .............................................................................................................. 71
1.4 Complex Numbers; Quadratic Equations in the Complex Number System .......................... 89
1.5 Radical Equations; Equations Quadratic in Form; Absolute Value Equations;
Factorable Equations ............................................................................................................. 95
1.6 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate
Job Applications .................................................................................................................. 115
1.7 Solving Inequalities ............................................................................................................. 123
Chapter Review ............................................................................................................................ 134
Chapter Test ................................................................................................................................. 145
Chapter Project ............................................................................................................................. 149
Chapter 2 Graphs
2.1 The Distance and Midpoint Formulas ................................................................................. 150
2.2 Intercepts; Symmetry; Graphing Key Equations ................................................................. 162
2.3 Lines .................................................................................................................................... 178
2.4 Circles .................................................................................................................................. 195
2.5 Variation .............................................................................................................................. 208
Chapter Review ............................................................................................................................ 214
Chapter Test ................................................................................................................................. 220
Cumulative Review ...................................................................................................................... 221
Chapter Project ............................................................................................................................. 224
Chapter 3 Functions and Their Graphs
3.1 Functions ............................................................................................................................. 225
3.2 The Graph of a Function ...................................................................................................... 243
3.3 Properties of Functions ........................................................................................................ 252
3.4 Library of Functions; Piecewise-defined Functions ............................................................ 269
3.5 Graphing Techniques: Transformations .............................................................................. 282
3.6 Mathematical Models: Building Functions.......................................................................... 300
Chapter Review ............................................................................................................................ 307
Chapter Test ................................................................................................................................. 314
Cumulative Review ...................................................................................................................... 318
Chapter Projects ........................................................................................................................... 321
Copyright © 2026
Complete Chapters
COLLEGE ALGEBRA
ENHANCED WITH GRAPHING
UTILITIES
NINTH EDITION
Michael Sullivan
Michael Sullivan, III
, Table Of Contents
Chapter R - Review
1. Graphs, Equations, and Inequalities
2. Graphs
3. Functions and Their Graphs
4. Linear and Quadratic Functions
5. Polynomial and Rational Functions
6. Exponential and Logarithmic Functions
7. Analytic Geometry
8. Systems of Equations and Inequalities
9. Sequences; Induction; the Binomial Theorem
10. Counting and Probability
,This page intentionally left blank
, Table of Contents
Chapter R Review
R.1 Real Numbers .......................................................................................................................... 1
R.2 Algebra Essentials ................................................................................................................... 5
R.3 Geometry Essentials .............................................................................................................. 11
R.4 Polynomials ........................................................................................................................... 16
R.5 Factoring Polynomials ........................................................................................................... 23
R.6 Synthetic Division ................................................................................................................. 28
R.7 Rational Expressions ............................................................................................................. 30
R.8 nth Roots; Rational Exponents .............................................................................................. 40
Chapter 1 Graphs, Equations, and Inequalities
1.1 Graphing Utilities; Introduction to Graphing Equations ....................................................... 50
1.2 Solving Equations Using a Graphing Utility; Linear and Rational Equations....................... 57
1.3 Quadratic Equations .............................................................................................................. 71
1.4 Complex Numbers; Quadratic Equations in the Complex Number System .......................... 89
1.5 Radical Equations; Equations Quadratic in Form; Absolute Value Equations;
Factorable Equations ............................................................................................................. 95
1.6 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate
Job Applications .................................................................................................................. 115
1.7 Solving Inequalities ............................................................................................................. 123
Chapter Review ............................................................................................................................ 134
Chapter Test ................................................................................................................................. 145
Chapter Project ............................................................................................................................. 149
Chapter 2 Graphs
2.1 The Distance and Midpoint Formulas ................................................................................. 150
2.2 Intercepts; Symmetry; Graphing Key Equations ................................................................. 162
2.3 Lines .................................................................................................................................... 178
2.4 Circles .................................................................................................................................. 195
2.5 Variation .............................................................................................................................. 208
Chapter Review ............................................................................................................................ 214
Chapter Test ................................................................................................................................. 220
Cumulative Review ...................................................................................................................... 221
Chapter Project ............................................................................................................................. 224
Chapter 3 Functions and Their Graphs
3.1 Functions ............................................................................................................................. 225
3.2 The Graph of a Function ...................................................................................................... 243
3.3 Properties of Functions ........................................................................................................ 252
3.4 Library of Functions; Piecewise-defined Functions ............................................................ 269
3.5 Graphing Techniques: Transformations .............................................................................. 282
3.6 Mathematical Models: Building Functions.......................................................................... 300
Chapter Review ............................................................................................................................ 307
Chapter Test ................................................................................................................................. 314
Cumulative Review ...................................................................................................................... 318
Chapter Projects ........................................................................................................................... 321
Copyright © 2026
