INSTRUCTOR’S SOLUTIONS MANUAL For ALGEBRA AND TRIGONOMETRY 7th EDITION by DANIEL S. MILLER, COMPLETE GUIDE A+

INSTRUCTOR’S SOLUTIONS
MANUAL
MATH MADE VISIBLE
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A LGEBRA AND T RIGONOMETRY
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WITH M ODELING AND
V ISUALIZATION
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P RECALCULUS WITH M ODELING
AND V ISUALIZATION
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S IXTH E DITION
Gary Rockswold
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Minnesota State University, Mankato
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with


Terry Krieger
Rochester Community and Technical College
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and


Jessica Rockswold
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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
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Chapter 5 Exponential and Logarithmic Functions 368
Chapter 6 Trigonometric Functions 453
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Chapter 7 Trigonometric Identities and Equations 558
Chapter 8 Further Topics in Trigonometry 657
Chapter 9 Systems of Equations and Inequalities 758
Chapter 10 Conic Sections 863
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Chapter 11 Further Topics in Algebra 910
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
Appendix E Rotation of Axes 1023
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, Chapter 1: Introduction to Functions and Graphs


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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3 3 3
8. Natural numbers:  3 , 5.6  103  5600 ; whole numbers: , 0 , 5.6  103 ; integers: , 0 , 5.6  103 ;
1 1 1
3 5 3
rational numbers: ,  , 0.45 , 0 , 5.6  10 ; irrational number: 7
1 8
1
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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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5.7 2
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.
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13. Speed limit is measured using natural numbers.
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.
17. | 5  8  7 |  | 5  56 |  | 51|  51
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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
21. 95   4   22  0
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42 2
6  42  23 6  16  8 6  2
22.    4
3 4 1 1
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