SOLUTIONS
COLLEGE ALGEBRA WITH
MODELING AND VISUALIZATION
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,INSTRUCTOR’S SOLUTIONS
MANUAL
MATH MADE VISIBLE
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COLLEGE A LGEBRA WITH
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M ODELING AND
SS
V ISUALIZATION OI
S IXTH E DITION
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Gary Rockswold
CO
Minnesota State University, Mankato
with
ED
Terry Krieger
M
Rochester Community and Technical College
and
Jessica Rockswold
, 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 Systems of Equations and Inequalities 453
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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
SS
Appendix C Partial Fractions 715
Appendix D Percent Change and Exponential Functions 722
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, Chapter 1: Introduction to Functions and Graphs
1.1: Numbers, Data, and Problem Solving
21
1. is a real and rational number.
24
2. 100,000 is a real number, rational number, integer, and natural number.
3. 7.5 is a real and rational number.
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4. 12.3 is a real and rational number.
5. 90 2 is a real number.
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6. 71 is an integer, real number, and rational number.
2
7. Natural number: 9 3 ; whole number: 9 ; integers: 3 , 9 ; rational numbers: 3 , , 9 , 1.3 ;
9
25
5.7 2
100 , , , 1.457 ; irrational number: 3
10 9
11. Shoe sizes are normally measured to within half sizes. Rational numbers are most appropriate.
ED
12. Population is measured using natural numbers.
13. Speed limit is measured using natural numbers.
14. Gasoline is usually measured to a fraction of a gallon using rational numbers.
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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.
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
84 4
21. 95 4 22 0
42 2
6 42 23 6 16 8 6 2
22. 4
3 4 1 1
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