SOLUTIONS
COLLEGE ALGEBRA: CONCEPTS
THROUGH FUNCTIONS
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, INSTRUCTOR’S
SOLUTIONS MANUAL
TIM BRITT
Jackson State Community College
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C OLLEGE A LGEBRA :
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C ONCEPTS T HROUGH F UNCTIONS
FIFTH EDITION
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MICHAEL SULLIVAN
CHICAGO STATE UNIVERSITY
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MICHAEL SULLIVAN, III
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JOLIET JUNIOR COLLEGE
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PPID A103000239112
, Table of Contents
Chapter F: Foundations: A Prelude to functions
F.1 The Distance and Midpoint Formulas.......................................................................................... 1
F.2 Graphs of Equations in Two Variables; Intercepts; Symmetry ................................................. 13
F.3 Lines .......................................................................................................................................... 30
F.4 Circles ........................................................................................................................................ 48
Chapter Project ................................................................................................................................. 61
Chapter 1: Functions and Their Graphs
1.1 Functions .................................................................................................................................... 62
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1.2 The Graph of a Function ............................................................................................................ 79
1.3 Properties of Functions .............................................................................................................. 88
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1.4 Library of Functions; Piecewise-defined Functions................................................................. 103
1.5 Graphing Techniques: Transformations................................................................................... 115
1.6 Mathematical Models: Building Functions .............................................................................. 133
1.7 Building Mathematical Models Using Variation ..................................................................... 139
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Chapter Review............................................................................................................................... 143
Chapter Test .................................................................................................................................... 151
Chapter Projects .............................................................................................................................. 155
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Chapter 2: Linear and Quadratic Functions
2.1 Properties of Linear Functions and Linear Models .................................................................. 157
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2.2 Building Linear Models from Data .......................................................................................... 169
2.3 Quadratic Functions and Their Zeros....................................................................................... 175
2.4 Properties of Quadratic Functions............................................................................................ 194
2.5 Inequalities Involving Quadratic Functions ............................................................................. 218
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2.6 Building Quadratic Models from Verbal Descriptions and from Data .................................... 238
2.7 Complex Zeros of a Quadratic Function .................................................................................. 246
2.8 Equations and Inequalities Involving the Absolute Value Function ........................................ 251
Chapter Review............................................................................................................................... 262
Chapter Test .................................................................................................................................... 273
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Cumulative Review......................................................................................................................... 277
Chapter Projects .............................................................................................................................. 280
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Chapter 3: Polynomial and Rational Functions
3.1 Polynomial Functions .............................................................................................................. 283
3.2 Graphing Polynomial Functions; Models ................................................................................ 294
3.3 The Real Zeros of a Polynomial Function ............................................................................... 310
3.4 Complex Zeros; Fundamental Theorem of Algebra ................................................................ 341
3.5 Properties of Rational Functions .............................................................................................. 350
3.6 The Graph of a Rational Function............................................................................................ 360
3.7 Polynomial and Rational Inequalities ...................................................................................... 417
Chapter Review............................................................................................................................... 437
Chapter Test .................................................................................................................................... 452
Cumulative Review......................................................................................................................... 457
Chapter Projects .............................................................................................................................. 461
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