Homework Assignments
Math 126—Fall, 2009

December 1 (Tuesday), after Exam #3 and the Thanksgiving Day Recess

There is no homework due on November 24 (Tuesday).

Pages 269—270
8—42 (even)

Page 255
Problems: 8, 10, 15, 16, 17, 20, 28, 30, 38, 40

In answering 17 and 20, first write the factored form. Then write the polynomial in descending power order. Write your answer using 1 for the leading coefficient (called a in the textbook).

In answering 38 and 40, be sure both

• to write the complex zeros and
• to write the polynomial in factored form.

Read the directions for each problem. You are not required to use Descartes' Rule of Signs.

Pages 248—249
Problems: 14, 16, 34, 38, 44, 46, 54, 59, 68, 90, 92

Page 235
Problems: 14, 16, 18, 24, 28, 32, 34

Use interval notation to write each solution set. Know how to graph each solution set.

Examples of interval notation (with their set-builder notation equivalents) are:

• (−∞, 4] = {x | x ≤ 4}
• [11, ∞) = {x | x ≥ 11}
• [3, 6) = {x | 3 ≤ x < 6}
• [−2, 5) ∪ (9, ∞) = {x | −2 ≤ x < 5 or x > 9}
• (−∞, −1] ∪ [1, ∞) = {x | x ≤ −1 or x ≥ 1}
• (−∞, 2] ∪ (4, 7) ∪ [12, ∞) = {x | x ≤ 2 or 4 < x < 7 or x ≥ 12}

For the four graphing problems (#32 on page 212 and the three problems on page 227), draw the graph and any vertical/horizontal/oblique asymptotes. Use graph paper. You are not required to "use transformations" for #32 on page 212.

Pages 211—212
Problems: 12, 16, 20, 32, 42, 44, 48, 49

Page 227
Problems: 10, 12, 30

Page A29
Problem: 94, 96, 98

Page A41
Problems: 5—26 (all)

Pages 200—201
Problems: 32, 34, 38, 40, 42, 44, 48(a, b, d), 50(a, b, d), 61, 62, 63, 64, 68 (graph only), 70 (graph only), 74 (graph only), 84 (graph only)

Write your answers to 38, 40, 42, and 44 in factored form.

Use graph paper for 32, 34, 68, 70, 74, and 84.

When drawing a coordinate system on the graph paper, I suggest that you label the y-axis after making a table to see how extremely positive and negative the values of y get. A "good" graph of a polynomial function should show all its turning points and x-intercepts. (In the case of a quadratic function, for example, the vertex should be shown.)

WolframAlpha is a useful web site. For problem 68, enter "x(x+2)^2" to see what WolframAlpha can do.

Page 174
Problems: 18, 20, 22, 32, 34, 38, 40, 42, 50, 52, 57

When graphing the solution sets for 40, 42, 50, 52, and 57, draw a separate number line for each problem.

Page 170
Problems: 9, 10, 16, 17, 18, 20, 22
Draw each graph on a separate coordinate system. Use graph paper. Write nonreal zeros in standard form.

Pages 163—165
Problems: 6, 14(a, b, c), 16(a, b, c, d), 20, 22, 25, 26, 27

Pages 156—157
Problems: 3—6 (all) , 8, 12, 16, 20, 22, 34

Pages 152—153
Problems: 11—18 (all), 22, 25, 27, 28, 31, 33, 39, 42, 48, 52, 54, 56, 58, 60, 62, 64, 66
Draw graphs on graph paper.

Page 142—143
Problems: 12, 14, 16, 18, 26, 28, 32, 38, 40, 42, 44, 46, 50, 52, 56, 60
Simplify solutions, but do not round them.

Pages 121—124
Problems: 17, 18, 20, 21, 27—34 (all) 37, 38, 39, 40, 53, 57

Use graph paper for #17(b), #18(b), #20(b), #21(b), and #53(b).
For #27—#34 (all) , change the directions to, "Is it possible for f to be a linear function?"

Pages 102—105
Problems: 7(a), 8(a), 9(a), 15(a), 16(a, b), 28, 30(a), 31(a)

Pages 94—96
Problems: 7—18 (all) , 36, 39, 56, 66(a, b, c, d, e, f)

Use graph paper for #36, #39, #56, and #66. Label your answers to #66 so that I can tell which is which.

You are not required to "show all stages" for #36, #39, and #56.

Pages 82—83
Problems: 18, 20, 22, 24, 26, 30(c), 32(c), 35(c), 44 (For #44, assume that the graph extends straight forever from the arrowhead in the upper right corner.)
Use graph paper for #30(c), #32(c), and #35(c).

Pages 71—72
Problems: 11—20 (all) , 22(a, b, c, d), 25(a, b, c, d), 28(a, b, c, d), 30(a, b), 33, 34, 36, 42, 55
Assume that an arrowhead in a graph means that the graph continues straight infinitely far in the direction of the arrowhead.

Pages 59—60
Problems: 10(a, b, c, d, e, f, g, h, i, j, m, n, o), 14, 16, 18, 19 (assuming that the graph extends straight infinitely far from each arrowhead), 25(a, b, c, d, e, f, g)

Pages 6—7
Problems: 24 ( simplify the radical ), 36, 46

Page 17
Problems: 56, 60, 68, 70

Page 36
Problem: 26 (use graph paper), 40