GlobAl
eDition
College Algebra
Sixth eDition
Mark Dugopolski
,College Algebra 6e
Global Edition
Mark Dugopolski
Southeastern Louisiana University
Boston Columbus Indianapolis New York San Francisco Hoboken
Amsterdam Cape Town Dubai London Madrid Milan Munich Paris Montréal Toronto
Delhi Mexico City São Paulo Sydney Hong Kong Seoul Singapore Taipei Tokyo
,Editor in Chief: Anne Kelly
Head of Learning Asset Acquisition, Global Edition: Laura Dent
Acquisitions Editor: Kathryn O’Connor
Content Editor: Kerri Consalvo
Editorial Assistant: Judith Garber
Senior Managing Editor: Karen Wernholm
Production Project Manager: Mary Sanger
Senior Acquisitions Editor, Global Edition: Priyanka Ahuja
Assistant Project Editor, Global Edition: Amrita Kar
Associate Director of Design, USHE North and West: Andrea Nix
Senior Manufacturing Controller, Production, Global Edition: Trudy Kimber
Cover Designer: Shree Mohanambal Inbakumar, Lumina Datamatics
Cover Image: MarcelClemens/Shutterstock
Marketing Manager: Peggy Lucas
Marketing Assistant: Justine Goulart
Senior Author Support/Technology Specialist: Joe Vetere
Procurement Specialist: Debbie Rossi
Associate Media Producer: Nicholas Sweeny
MathXL Project Supervisor: Kristina Evans
Test Gen Senior Content Developer: John Flanagan
Rights and Permissions Advisor: Dana Weightman
Image Manager: Rachel Youdelman
Photo Research: Integra
Photo credits appear on page C-1, which constitutes a continuation of the copyright page.
Many of the designations used by manufacturers and sellers to distinguish their products are claimed as
trademarks. Where those designations appear in this book, and Pearson was aware of a trademark claim,
the designations have been printed in initial caps or all caps.
Pearson Education Limited
Edinburgh Gate
Harlow
Essex CM 20 2JE
England
and Associated Companies throughout the world
Visit us on the World Wide Web at:
www.pearsonglobaleditions.com
© Pearson Education Limited 2015
The rights of Mark Dugopolski to be identified as the author of this work has been asserted by him in
accordance with the Copyright, Designs and Patents Act 1988.
Authorized adaptation from the United States edition, entitled College Algebra 6th Edition,
ISBN 9780321916600, by Mark Dugopolski, published by Pearson Education © 2015.
All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted
in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without either the
prior written permission of the publisher or a license permitting restricted copying in the United Kingdom
issued by the Copyright Licensing Agency Ltd, Saffron House, 6–10 Kirby Street, London EC1N 8TS.
All trademarks used herein are the property of their respective owners. The use of any trademark in this text
does not vest in the author or publisher any trademark ownership rights in such trademarks, nor does the use of
such trademarks imply any affiliation with or endorsement of this book by such owners.
ISBN 10: 1-292-08276-3
ISBN 13: 978-1-292-08276-9
British Library Cataloguing-in-Publication Data
A catalogue record for this book is available from the British Library
10 9 8 7 6 5 4 3 2 1
Typeset by Cenveo Publisher Services in 10/12 Sabon LT Std.
Printed and bound by CIP Books
, CONTENTS
Preface 7
P Prerequisites 13
P.1 Real Numbers and Their Properties 14
P.2 Integral Exponents and Scientific Notation 26
P.3 Rational Exponents and Radicals 35
P.4 Polynomials 47
P.5 Factoring Polynomials 57
P.6 Rational Expressions 67
P.7 Complex Numbers 78
Chapter P Highlights 85
Chapter P Review Exercises 87
Chapter P Test 90
1 Equations, Inequalities, and Modeling 91
1.1 Linear, Rational, and Absolute Value Equations 92
1.2 Constructing Models to Solve Problems 102
1.3 Equations and Graphs in Two Variables 114
1.4 Linear Equations in Two Variables 129
1.5 Quadratic Equations 144
1.6 Miscellaneous Equations 159
1.7 Linear and Absolute Value Inequalities 172
Chapter 1 Highlights 185
Chapter 1 Review Exercises 187
Chapter 1 Test 191
Tying It All Together 192
2 Functions and Graphs 193
2.1 Functions 194
2.2 Graphs of Relations and Functions 207
2.3 Families of Functions, Transformations, and Symmetry 221
2.4 Operations with Functions 236
2.5 Inverse Functions 246
2.6 Constructing Functions with Variation 260
3
eDition
College Algebra
Sixth eDition
Mark Dugopolski
,College Algebra 6e
Global Edition
Mark Dugopolski
Southeastern Louisiana University
Boston Columbus Indianapolis New York San Francisco Hoboken
Amsterdam Cape Town Dubai London Madrid Milan Munich Paris Montréal Toronto
Delhi Mexico City São Paulo Sydney Hong Kong Seoul Singapore Taipei Tokyo
,Editor in Chief: Anne Kelly
Head of Learning Asset Acquisition, Global Edition: Laura Dent
Acquisitions Editor: Kathryn O’Connor
Content Editor: Kerri Consalvo
Editorial Assistant: Judith Garber
Senior Managing Editor: Karen Wernholm
Production Project Manager: Mary Sanger
Senior Acquisitions Editor, Global Edition: Priyanka Ahuja
Assistant Project Editor, Global Edition: Amrita Kar
Associate Director of Design, USHE North and West: Andrea Nix
Senior Manufacturing Controller, Production, Global Edition: Trudy Kimber
Cover Designer: Shree Mohanambal Inbakumar, Lumina Datamatics
Cover Image: MarcelClemens/Shutterstock
Marketing Manager: Peggy Lucas
Marketing Assistant: Justine Goulart
Senior Author Support/Technology Specialist: Joe Vetere
Procurement Specialist: Debbie Rossi
Associate Media Producer: Nicholas Sweeny
MathXL Project Supervisor: Kristina Evans
Test Gen Senior Content Developer: John Flanagan
Rights and Permissions Advisor: Dana Weightman
Image Manager: Rachel Youdelman
Photo Research: Integra
Photo credits appear on page C-1, which constitutes a continuation of the copyright page.
Many of the designations used by manufacturers and sellers to distinguish their products are claimed as
trademarks. Where those designations appear in this book, and Pearson was aware of a trademark claim,
the designations have been printed in initial caps or all caps.
Pearson Education Limited
Edinburgh Gate
Harlow
Essex CM 20 2JE
England
and Associated Companies throughout the world
Visit us on the World Wide Web at:
www.pearsonglobaleditions.com
© Pearson Education Limited 2015
The rights of Mark Dugopolski to be identified as the author of this work has been asserted by him in
accordance with the Copyright, Designs and Patents Act 1988.
Authorized adaptation from the United States edition, entitled College Algebra 6th Edition,
ISBN 9780321916600, by Mark Dugopolski, published by Pearson Education © 2015.
All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted
in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without either the
prior written permission of the publisher or a license permitting restricted copying in the United Kingdom
issued by the Copyright Licensing Agency Ltd, Saffron House, 6–10 Kirby Street, London EC1N 8TS.
All trademarks used herein are the property of their respective owners. The use of any trademark in this text
does not vest in the author or publisher any trademark ownership rights in such trademarks, nor does the use of
such trademarks imply any affiliation with or endorsement of this book by such owners.
ISBN 10: 1-292-08276-3
ISBN 13: 978-1-292-08276-9
British Library Cataloguing-in-Publication Data
A catalogue record for this book is available from the British Library
10 9 8 7 6 5 4 3 2 1
Typeset by Cenveo Publisher Services in 10/12 Sabon LT Std.
Printed and bound by CIP Books
, CONTENTS
Preface 7
P Prerequisites 13
P.1 Real Numbers and Their Properties 14
P.2 Integral Exponents and Scientific Notation 26
P.3 Rational Exponents and Radicals 35
P.4 Polynomials 47
P.5 Factoring Polynomials 57
P.6 Rational Expressions 67
P.7 Complex Numbers 78
Chapter P Highlights 85
Chapter P Review Exercises 87
Chapter P Test 90
1 Equations, Inequalities, and Modeling 91
1.1 Linear, Rational, and Absolute Value Equations 92
1.2 Constructing Models to Solve Problems 102
1.3 Equations and Graphs in Two Variables 114
1.4 Linear Equations in Two Variables 129
1.5 Quadratic Equations 144
1.6 Miscellaneous Equations 159
1.7 Linear and Absolute Value Inequalities 172
Chapter 1 Highlights 185
Chapter 1 Review Exercises 187
Chapter 1 Test 191
Tying It All Together 192
2 Functions and Graphs 193
2.1 Functions 194
2.2 Graphs of Relations and Functions 207
2.3 Families of Functions, Transformations, and Symmetry 221
2.4 Operations with Functions 236
2.5 Inverse Functions 246
2.6 Constructing Functions with Variation 260
3
