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Appendix G Answers to Selected Exercises
1 Functions and Their Graphs
1.1 Linear Models
Homework 1.1
1.
3.
5.
7.
25.
27.
29.
31.
1.2 Functions
Homework 1.2
27.
29.
31.
33.
49.
51.
53.
55.
57.
77.
79.
1.3 Graphs of Functions
Homework 1.3
17.
19.
21.
31.
49.
1.4 Slope and Rate of Change
Homework 1.4
15.
21.
31.
43.
45.
47.
49.
51.
1.5 Linear Functions
Homework 1.5
15.
17.
19.
27.
29.
31.
51.
61.
63.
1.6 Linear Regression
Homework 1.6
13.
15.
17.
19.
21.
23.
25.
27.
37.
39.
1.7 Chapter Summary and Review
Chapter 1 Review Problems
19.
39.
41.
43.
45.
51.
67.
69.
71.
73.
79.
81.
83.
2 Modeling with Functions
2.1 Nonlinear Models
Homework 2.1
55.
57.
59.
61.
69.
71.
2.2 Some Basic Functions
Homework 2.2
65.
67.
2.3 Transformations of Graphs
Homework 2.3
71.
73.
75.
2.4 Functions as Mathematical Models
Homework 2.4
41.
43.
45.
47.
49.
51.
2.5 The Absolute Value Function
Homework 2.5
9.
11.
45.
47.
49.
51.
2.6 Domain and Range
Homework 2.6
13.
15.
17.
19.
21.
23.
51.
2.7 Chapter Summary and Review
Chapter 2 Review Problems
7.
3 Power Functions
3.1 Variation
Homework 3.1
1.
3.
5.
7.
9.
11.
13.
15.
17.
19.
43.
45.
3.2 Integer Exponents
Homework 3.2
1.
15.
25.
27.
29.
31.
33.
55.
57.
3.3 Roots and Radicals
Homework 3.3
39.
41.
43.
49.
51.
53.
59.
61.
3.4 Rational Exponents
Homework 3.4
19.
23.
25.
27.
29.
31.
33.
35.
43.
51.
53.
55.
3.5 Joint Variation
Homework 3.5
1.
3.
5.
7.
9.
11.
13.
15.
17.
19.
3.6 Chapter Summary and Review
Chapter 3 Review Problems
1.
3.
5.
35.
37.
39.
61.
63.
65.
67.
4 Exponential Functions
4.1 Exponential Growth and Decay
Homework 4.1
1.
3.
5.
7.
9.
27.
29.
31.
41.
43.
59.
61.
4.2 Exponential Functions
Homework 4.2
23.
25.
37.
39.
67.
4.3 Logarithms
Homework 4.3
49.
51.
4.4 Properties of Logarithms
Homework 4.4
1.
3.
5.
37.
39.
41.
43.
4.5 Exponential Models
Homework 4.5
19.
21.
23.
25.
31.
33.
35.
37.
47.
4.6 Chapter Summary and Review
Chapter 4 Review Problems
13.
15.
37.
63.
65.
67.
69.
75.
77.
79.
81.
5 Logarithmic Functions
5.1 Inverse Functions
Homework 5.1
1.
3.
9.
11.
13.
15.
17.
19.
21.
33.
43.
5.2 Logarithmic Functions
Homework 5.2
5.
7.
15.
17.
21.
23.
27.
61.
69.
5.3 The Natural Base
Homework 5.3
11.
13.
19.
21.
37.
39.
47.
49.
5.4 Logarithmic Scales
Homework 5.4
1.
3.
5.
7.
9.
11.
13.
15.
17.
19.
21.
23.
25.
27.
29.
31.
33.
35.
37.
39.
5.5 Chapter Summary and Review
Chapter 5 Review Problems
13.
15.
51.
53.
55.
57.
59.
61.
63.
65.
67.
69.
6 Quadratic Functions
6.1 Factors and \(x\)-Intercepts
Homework 6.1
1.
11.
13.
15.
17.
19.
21.
23.
63.
6.2 Solving Quadratic Equations
Homework 6.2
3.
5.
7.
9.
11.
13.
15.
17.
25.
37.
39.
41.
43.
67.
6.3 Graphing Parabolas
Homework 6.3
7.
9.
11.
13.
27.
45.
47.
49.
6.4 Problem Solving
Homework 6.4
1.
3.
9.
11.
13.
15.
31.
6.5 Quadratic Inequalities
Homework 6.5
1.
3.
31.
33.
35.
37.
39.
41.
43.
45.
47.
49.
59.
6.6 Curve Fitting
Homework 6.6
27.
31.
6.7 Chapter Summary and Review
Chapter 6 Review Problems
27.
29.
31.
33.
53.
55.
67.
77.
79.
81.
87.
7 Polynomial and Rational Functions
7.1 Polynomial Functions
Homework 7.1
23.
47.
49.
51.
53.
63.
7.2 Graphing Polynomial Functions
Homework 7.2
19.
27.
35.
61.
63.
7.3 Complex Numbers
Homework 7.3
49.
51.
7.4 Graphing Rational Functions
Homework 7.4
1.
3.
5.
7.
9.
11.
13.
15.
17.
19.
21.
23.
25.
27.
29.
31.
49.
51.
7.5 Equations That Include Algebraic Fractions
Homework 7.5
9.
11.
13.
19.
21.
23.
37.
47.
57.
59.
7.6 Chapter Summary and Review
Chapter 7 Review Problems
15.
49.
51.
67.
69.
8 Linear Systems
8.1 Systems of Linear Equations in Two Variables
Homework 8.1
8.2 Systems of Linear Equations in Three Variables
Homework 8.2
7.
9.
11.
13.
15.
17.
19.
8.3 Solving Linear Systems Using Matrices
Homework 8.3
8.4 Linear Inequalities
Homework 8.4
1.
3.
5.
7.
9.
11.
13.
15.
8.5 Linear Programming
Homework 8.5
8.6 Chapter Summary and Review
Chapter 8 Review Problems
45.
49.
9 Sequences and Series
9.1 Sequences
Homework 9.1
43.
45.
9.2 Arithmetic and Geometric Sequences
Homework 9.2
33.
35.
37.
39.
9.3 Series
Homework 9.3
23.
25.
27.
29.
31.
33.
35.
37.
39.
9.4 Infinite Geometric Series
Homework 9.4
21.
23.
25.
27.
29.
31.
33.
35.
37.
39.
57.
59.
9.5 The Binomial Expansion
Homework 9.5
5.
19.
21.
27.
29.
31.
33.
9.6 Chapter Summary and Review
Chapter 9 Review Problems
43.
45.
47.
