Instructor's Solution Manual for College Algebra with Modeling and Visualization 6th Edition by Gary Rockswold, Chapter 1-8

INSTRUCTOR’S SOLUTIONS
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MANUAL
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MATH MADE VISIBLE



COLLEGE A LGEBRA WITH
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M ODELING AND
V ISUALIZATION
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S IXTH E DITION
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Gary Rockswold
Minnesota State University, Mankato
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with


Terry Krieger
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Rochester Community and Technical College
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and


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
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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
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.

Reproduced by Pearson from electronic files supplied by the author.
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Copyright © 2017 Pearson Education, Inc.
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All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any
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form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written
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ISBN-13: 978-0-13-441814-8
ISBN-10: 0-13-441814-X

, Table of Contents
Chapter 1 Introduction to Functions and Graphs 1
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Chapter 2 Linear Functions and Equations 52
Chapter 3 Quadratic Functions and Equations 134
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Chapter 4 More Nonlinear Functions and Equations 217
Chapter 5 Exponential and Logarithmic Functions 368
Chapter 6 Systems of Equations and Inequalities 453
Chapter 7 Conic Sections 569
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Chapter 8 Further Topics in Algebra 617
Chapter R Reference: Basic Concepts from Algebra and Geometry 682
Appendix C Partial Fractions 715
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Appendix D Percent Change and Exponential Functions 722
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, Chapter 1: Introduction to Functions and Graphs
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1.1: Numbers, Data, and Problem Solving
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1. is a real and rational number.
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2. 100,000 is a real number, rational number, integer, and natural number.
3. 7.5 is a real and rational number.
4. 12.3 is a real and rational number.
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5. 90 2 is a real number.
6. 71 is an integer, real number, and rational number.
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7. Natural number: 9  3 ; whole number: 9 ; integers: 3 , 9 ; rational numbers: 3 , , 9 , 1.3 ;
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irrational numbers:  ,  2
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8. Natural numbers:  3 , 5.6  103  5600 ; whole numbers: , 0 , 5.6  103 ; integers: , 0 , 5.6  103 ;
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rational numbers: ,  , 0.45 , 0 , 5.6  10 ; irrational number: 7
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9. Natural number: None; whole number:0; integer: 0,  4  2 ; rational numbers: 0, , 5.1 106 , 2.33 ,
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0.7 ,  4 ; irrational number: 13
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10. Natural numbers: 100  10 ; whole number: 100 ; integers: 103 , 100 ; rational numbers: 103 , ,
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100 ,  , , 1.457 ; irrational number: 3
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11. Shoe sizes are normally measured to within half sizes. Rational numbers are most appropriate.
12. Population is measured using natural numbers.
13. Speed limit is measured using natural numbers.
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14. Gasoline is usually measured to a fraction of a gallon using rational numbers.
15. Temperature is typically measured to the nearest degree in a weather forecast. Since temperature can include
negative numbers, the integers would be most appropriate.
16. Compact disc sales could be measured in natural numbers, since fractions of a disc are not allowed.
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17. | 5  8  7 |  | 5  56 |  | 51|  51
18. 2(16  3  5)  2  2(16  15)  2  2(1)  2  2  2  1
19. 62  3(2  4) 4  62  3(  2) 4  36  3(16)  36  48  84
20. (4  5) 2  32  3 9  (  1)2  9  3(3)  1  9  9  17
84 4
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21. 95   4   22  0
42 2
6  42  23 6  16  8 6  2
22.    4
3 4 1 1



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