Homework Assignments
Math 126—Fall, 2008—Section WC802

32, 50, 54, 58, 66, 72, 76

12, 18, 28, 32, 38

Caution: For problem 28, the domain is not the set of all real numbers.

19, 22, 28, 30, 32, 40

For problems 19 and 22, write your answer in descending-power order.

34, 44, 46, 48, 54, 59, 62, 92, 98

8, 14, 22, 24, 26, 28, 38

12, 16, 20, 44, 46, 48

For problems 44, 46, and 48, find:

• every vertical asymptote and
• the horizontal/oblique/polynomial asymptote.

10, 12, 14, 29

Just draw the graph together with every vertical asymptote and the graph's horizontal/oblique/polynomial asymptote.

92, 94, 96, 98, 102

6—26 (even)

Skip part (c) for each of these: 48, 50, 56

Skip part (e) for both of these: 74, 83

For problem 74, draw the graph for −5 ≤ x ≤ 4.

For problem 83, draw the graph for −3 ≤ x ≤ 5.

8, 18, 26, 30

16, 20, 22, 27

Round your answers to problem 27 to the nearest 0.01 meter.

4, 6, 8, 14, 20, 22, 23

Use interval notation to write every answer that is not the empty set. The symbol for the empty set is ∅.

Examples:
• The solution set to x² − 4 < 0 is (−2, 2).
• The solution set to x² − 4 ≤ 0 is [−2, 2].
• The solution set to x² − 4 > 0 is (−∞, −2) ∪ (2, ∞).
• The solution set to x² − 4 ≥ 0 is (−∞, −2] ∪ [2, ∞).

11—18, 28, 32, 38, 42, 53—58, 60, 62, 64, 66

• For problems 28 and 32, begin by writing the function definition in the form f(x) = a(x − h)² + k. Then draw the graph by shifting the graph of y = ax².
• For problems 53—58, write your answer in the form f(x) = ax² + bx + c.

• For problems 60 and 64, write your answer in this way: "f has a maximum value of … at …."

  Example: The answer to problem 63 is, "f has a maximum value of 21 at 5."

• For problems 62 and 66, write your answer in this way: "f has a minimum value of … at …."

16, 24, 28, 32, 38, 44, 68, 90(a, b, c)

Round your answers to 90(a) and 90(b) to the nearest 0.01 second. There are two answers to 90(a) since the object is 15 meters above the ground twice: once while it is rising and once while it is falling.

18, 26, 38, 39, 53, 57

For problems 18(b), 26(b), and 53(b), use graph paper.

7—18, 36, 43, 55

For problems 36, 43, and 55, use graph paper. You can print your own.

20, 22, 24, 30, 35

Use graph paper. You can print your own.

21, 25, 27, 30, 34, 36, 42, 56

For problem 30, assume that from each arrowhead the graph extends straight infinitely far.

10, 14, 16, 18, 19, 23, 26

For problems 14, 16, 18, and 19, do parts (a), (b), and (c) only if the graph is a function graph. For problem 19, assume that from each arrowhead the graph extends straight infinitely far.