MANUAL
MATH MADE VISIBLE
A LGEBRA AND T RIGONOMETRY
WITH M ODELING AND
V ISUALIZATION
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P RECALCULUS WITH M ODELING
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AND V ISUALIZATION
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S IXTH E DITION
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Gary Rockswold
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Minnesota State University, Mankato
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Terry Krieger
Rochester Community and Technical College
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Jessica Rockswold
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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 documentation
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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.
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Reproduced by Pearson from electronic files supplied by the author.
Copyright © 2018 Pearson Education, Inc.
Publishing as Pearson, 330 Hudson Street, NY, NY 10013
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 the prior written
permission of the publisher. Printed in the United States of America.
1 16
ISBN-13: 978-0-13-441843-8
ISBN-10: 0-13-441843-3
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, Table of Contents
Chapter 1 Introduction to Functions and Graphs 1
Chapter 2 Linear Functions and Equations 52
Chapter 3 Quadratic Functions and Equations 134
Chapter 4 More Nonlinear Functions and Equations 217
Chapter 5 Exponential and Logarithmic Functions 368
Chapter 6 Trigonometric Functions 453
Chapter 7 Trigonometric Identities and Equations 558
Chapter 8 Further Topics in Trigonometry 657
Chapter 9 Systems of Equations and Inequalities 758
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Chapter 10 Conic Sections 863
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Chapter 11 Further Topics in Algebra 910
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Chapter R Reference: Basic Concepts from Algebra and Geometry 978
Appendix C Partial Fractions 1011
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Appendix D Percent Change and Exponential Functions 1018
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Appendix E Rotation of Axes 1023
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