1. Function Rules, Tables, and Graphs
ALGEBRA 1 LESSON 5-3
pages 249–252  Exercises
1. C
2. A
3. B
4–12. Tables may vary.
Samples are given. 4. 5. 6. 7. 8.
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2. Function Rules, Tables, and Graphs
ALGEBRA 1 LESSON 5-3 9.
10.
11.
12.
13. a. M = 3.5 h
b–d. Answers may vary.
Samples are given. b. c.
d. about 8.5 h
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3. Function Rules, Tables, and Graphs
ALGEBRA 1 LESSON 5-3
14. a. b.
15.
16.
17.
18.
19.
20.
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4. Function Rules, Tables, and Graphs
ALGEBRA 1 LESSON 5-3
21.
22.
23.
24. a.
b. P(t) = 2t + 2,
25. Answers may vary. Sample:
Make a table to find values
for ƒ(x) when x = –2, 0,
and 2. Then graph the ordered pairs (x, ƒ(x)) and join the graphed points with a line.
26.
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5. Function Rules, Tables, and Graphs
ALGEBRA 1 LESSON 5-3
27.
28.
29.
30.
31.
32.
33.
34.
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6. Function Rules, Tables, and Graphs
ALGEBRA 1 LESSON 5-3
35.
36.
37.
38. a gal b.
c. Check students’ work.
d. Check students’ work.
39. a. dependent variable
b. Input is to output as
domain is to range.
40. a. b.
41. a. $.71
b. about 12 min
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7. Function Rules, Tables, and Graphs
ALGEBRA 1 LESSON 5-3
42. a.
b. x-axis
c. y = –|x| – 1
43. B
44. a.
b. It changes the y-intercept.
45. a.
b. It makes the graph wider or narrower.
46. a. 1, 1, –1, –1
b. {–1, 0, 1}
c. Tables may vary.
Sample:
d. No; s(3 + 5) = s(8) = 1 and
s(3) + s(5) = = 2; 1 = 2. /
47. C
48. F
49. B
50. I
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8. Function Rules, Tables, and Graphs
ALGEBRA 1 LESSON 5-3
51. [2]
The graphs of all equations go
through the point (0, 3). y = x + 3
and y = x2 + 3 share points on the
right side of the y-axis. Both sides
of the graphs y = x2 + 3 and y = |x|+ 3
go upward, but y = |x| + 3 has straight lines
and y = x2 + 3 has curved lines.
[1] at least two of the graphs drawn correctly
52. [4] a. Tables may vary. Sample: b.
[3] appropriate methods but one
calculation error
[2] correct table but an error
in graph
[1] table with no graph OR graph
with no table
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9. Function Rules, Tables, and Graphs
ALGEBRA 1 LESSON 5-3
53. {–5, 1, 11.5}
54. {–11, –5, 5.5}
55. {–6.5, 4, 10}
56. {–5, –3, –1.5}
57. {8.5, 12, 14}
58. {–20, –10, 7.5}
59. {–11, 1, 22}
60. {–9, –8, –6.25}
61. {–29.5, 9, 31}
62. 4, – 4
63. No sol.; 9 = 10 – 1
and |b| cannot be –1.
64. –3.6, 3.6
65. –7, 7
66. –7, 7
67. 4, –2
68. –7, –15
, –0.5
70. –1, –7 km km km km km
76. a. = , ft
b. = , ft
c. = , ft 7 8 x 29
35.833
18.5
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