Math 102, Section 20, Fall 2006: Homework

Section Level I Level II Comments

§3.1 (What is a Function?) #11, 15, 23, 27, 41, 45, 59, 69 • #29, 33, 47, 58
• #2 from this link

§3.2 (Graphs of Functions) • #6, 9, 17, 22, 23, 47, 49, 55, 57, 59, 85, 89
• Questions about the Vertical Line Test
• #68–78, 91, 93, 94
• Find the domain and the range of the function shown in this graph

§1.7 (Absolute Value Equations and Inequalities) #5, 9, 13, 15, 19, 21, 29, 31, 37, 41, 43, 45, 47, 49–52 • #17, 18, 55
•  Many challenge problems here.
•  Also Part Four from this link
•  Plus #1, 4, 5 from this link

§3.3 (Increasing and Decreasing Functions; Average Rate of Change) #3, 13, 15, 19, 21, 23, 25, 27, 31, 33 • #38, 39
• #6 from this link

§3.4 (Transformations of Functions) #1, 3, 7, 9, 11, 13, 17, 19, 21, 23, 35, 39, 45, 53, 61, 63, 65 • #69–72, 73(b), 74(b), 75–77
• This link

§3.5 (Quadratic Functions: Maxima and Minima) #1, 3, 5, 13, 19, 25, 29, 35, 39, 41, 43, 59, 65 • #71, 72
• This link

§3.6 (Combining Functions) #1, 11, 25, 29–39 odd, 45, 57 • #63–66
• From this link, #1a, 2d

§3.7 (One-to-one functions and their inverses) #1–5 odd, 9, 15, 31–49 odd, 75, 79 #78, 80–83

§4.1 (Polynomial functions and their graphs) #5–35 odd #73, 80, 82

§4.2 (Dividing Polynomials) #1–35 odd (see comment), 51– 59 odd • #78, 80–83
• From this link, #5–7
For problems #1–35 odd, ignore the directions. Instead, just do polynomial long division.

§4.3 (Real Zeroes of Polynomials) #1–39 odd #51–58, 79–82, 92, 96, 100

§4.4 (Complex Zeroes and the Fundamental Theorem of Algebra) #1–63 odd #6–69

§4.5 (Rational Functions) #5–23 odd, 33–63 odd #82–84

§5.3 (Laws of Logarithms) #1–45 odd #47, 59–61, 66–68

§5.5 (Modeling with Exponential and Logarithmic Functions) #1–12 #13, 24, 25, 37, 41

§12.2 (Arithmetic Sequences) #45–50 #51, 55, 56, 61, 62

§12.3 (Geometric Sequences) #43–48 #54, 64, 75–77, 80, 81

§13.1 (Counting Principles) #1–10 #39–42

§13.2 (Permutations and Combinations) #55–75


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