D?
VE
RO
PP
_A
IA
UV
ST
, INSTRUCTOR’S SOLUTIONS
MANUAL
TIM BRITT
ST
Jackson State Community College
UV
ALGEBRA AND TRIGONOMETRY
IA
E NHANCED WITH G RAPHING U TILITIES
E IGHTH E DITION
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Michael Sullivan
PP
Chicago State University
RO
Michael Sullivan III
Joliet Junior College
VE
D?
,ST
UV
IA
Please contact https://support.pearson.com/getsupport/contactsupport with any questions on this content.
_A
The author and publisher of this book have used their best efforts in preparing this book. These efforts include
the development, research, and testing of the theories and programs to determine their effectiveness. The author
and publisher make no warranty of any kind, expressed or implied, with regard to these programs or the
PP
documentation contained in this book. The author and publisher shall not be liable in any event for incidental or
consequential damages in connection with, or arising out of, the furnishing, performance, or use of these
programs.
Copyright © 2021, 2017, 2013 by Pearson Education, Inc. or its affiliates, 221 River Street, Hoboken, NJ
RO
07030. All Rights Reserved. Manufactured in the United States of America. This publication is protected by
copyright, and permission should be obtained from the publisher prior to any prohibited reproduction, storage in
a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying,
recording, or otherwise. For information regarding permissions, request forms, and the appropriate contacts
within the Pearson Education Global Rights and Permissions department, please visit
www.pearsoned.com/permissions/.
VE
D?
ISBN-13: 978-0-13-581300-3
ISBN-10: 0-13-581300-X
, 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
ST
R.5 Factoring Polynomials ........................................................................................................... 23
R.6 Synthetic Division ................................................................................................................. 28
R.7 Rational Expressions ............................................................................................................. 30
R.8 nth Roots; Rational Exponents .............................................................................................. 40
UV
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 .......................... 90
IA
1.5 Radical Equations; Equations Quadratic in Form; Absolute Value Equations;
Factorable Equations ............................................................................................................. 96
1.6 Problem Solving: Interest, Mixture, Uniform Motion, and Constant Rate Jobs .................. 117
1.7 Solving Inequalities ............................................................................................................. 125
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Chapter Review ............................................................................................................................ 137
Chapter Test ................................................................................................................................. 147
Chapter Projects ........................................................................................................................... 151
Chapter 2 Graphs
PP
2.1 The Distance and Midpoint Formulas ................................................................................. 152
2.2 Intercepts; Symmetry; Graphing Key Equations ................................................................. 165
2.3 Lines .................................................................................................................................... 182
2.4 Circles .................................................................................................................................. 200
2.5 Variation .............................................................................................................................. 215
RO
Chapter Review ............................................................................................................................ 220
Chapter Test ................................................................................................................................. 226
Cumulative Review ...................................................................................................................... 228
Chapter Projects ........................................................................................................................... 230
VE
Chapter 3 Functions and Their Graphs
3.1 Functions ............................................................................................................................. 231
3.2 The Graph of a Function ...................................................................................................... 249
3.3 Properties of Functions ........................................................................................................ 258
3.4 Library of Functions; Piecewise-defined Functions ............................................................ 275
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3.5 Graphing Techniques: Transformations .............................................................................. 287
3.6 Mathematical Models: Building Functions.......................................................................... 305
Chapter Review ............................................................................................................................ 313
Chapter Test ................................................................................................................................. 320
Cumulative Review ...................................................................................................................... 323
Chapter Projects ........................................................................................................................... 327
Copyright © 2021 Pearson Education, Inc.
VE
RO
PP
_A
IA
UV
ST
, INSTRUCTOR’S SOLUTIONS
MANUAL
TIM BRITT
ST
Jackson State Community College
UV
ALGEBRA AND TRIGONOMETRY
IA
E NHANCED WITH G RAPHING U TILITIES
E IGHTH E DITION
_A
Michael Sullivan
PP
Chicago State University
RO
Michael Sullivan III
Joliet Junior College
VE
D?
,ST
UV
IA
Please contact https://support.pearson.com/getsupport/contactsupport with any questions on this content.
_A
The author and publisher of this book have used their best efforts in preparing this book. These efforts include
the development, research, and testing of the theories and programs to determine their effectiveness. The author
and publisher make no warranty of any kind, expressed or implied, with regard to these programs or the
PP
documentation contained in this book. The author and publisher shall not be liable in any event for incidental or
consequential damages in connection with, or arising out of, the furnishing, performance, or use of these
programs.
Copyright © 2021, 2017, 2013 by Pearson Education, Inc. or its affiliates, 221 River Street, Hoboken, NJ
RO
07030. All Rights Reserved. Manufactured in the United States of America. This publication is protected by
copyright, and permission should be obtained from the publisher prior to any prohibited reproduction, storage in
a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying,
recording, or otherwise. For information regarding permissions, request forms, and the appropriate contacts
within the Pearson Education Global Rights and Permissions department, please visit
www.pearsoned.com/permissions/.
VE
D?
ISBN-13: 978-0-13-581300-3
ISBN-10: 0-13-581300-X
, 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
ST
R.5 Factoring Polynomials ........................................................................................................... 23
R.6 Synthetic Division ................................................................................................................. 28
R.7 Rational Expressions ............................................................................................................. 30
R.8 nth Roots; Rational Exponents .............................................................................................. 40
UV
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 .......................... 90
IA
1.5 Radical Equations; Equations Quadratic in Form; Absolute Value Equations;
Factorable Equations ............................................................................................................. 96
1.6 Problem Solving: Interest, Mixture, Uniform Motion, and Constant Rate Jobs .................. 117
1.7 Solving Inequalities ............................................................................................................. 125
_A
Chapter Review ............................................................................................................................ 137
Chapter Test ................................................................................................................................. 147
Chapter Projects ........................................................................................................................... 151
Chapter 2 Graphs
PP
2.1 The Distance and Midpoint Formulas ................................................................................. 152
2.2 Intercepts; Symmetry; Graphing Key Equations ................................................................. 165
2.3 Lines .................................................................................................................................... 182
2.4 Circles .................................................................................................................................. 200
2.5 Variation .............................................................................................................................. 215
RO
Chapter Review ............................................................................................................................ 220
Chapter Test ................................................................................................................................. 226
Cumulative Review ...................................................................................................................... 228
Chapter Projects ........................................................................................................................... 230
VE
Chapter 3 Functions and Their Graphs
3.1 Functions ............................................................................................................................. 231
3.2 The Graph of a Function ...................................................................................................... 249
3.3 Properties of Functions ........................................................................................................ 258
3.4 Library of Functions; Piecewise-defined Functions ............................................................ 275
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3.5 Graphing Techniques: Transformations .............................................................................. 287
3.6 Mathematical Models: Building Functions.......................................................................... 305
Chapter Review ............................................................................................................................ 313
Chapter Test ................................................................................................................................. 320
Cumulative Review ...................................................................................................................... 323
Chapter Projects ........................................................................................................................... 327
Copyright © 2021 Pearson Education, Inc.
