Lesson 2.1.1
2-4. a: See graph at right.
b: Yes, for every possible amount of water
Cost ($)
usage, there is only one possible cost.
c: Domain: 0 to 1,000 cubic feet;
range: discrete values including: $12.70,
$16.60, $20.50, $24.40, $29.60, $34.80, $40,
$45.20, $50.40, $55.60, $60.80 Water Used (ft3)
2-6. The negative coefficient causes parabolas to open
downward, without changing the vertex. See graph at right.
2-7. a: Parabola with vertex (3, 0), see graph at right. y
b: Shifted to the right three units.
t(n)
2-8. a: 4, 1, 0.25; t(n) = 256(0.25)n – 1
x
b: They get smaller, but are never negative.
c: See graph at right. They get very close to zero.
d: The domain is n integers greater than or equal to zero.
The domain of the function is all real numbers.
2-9. a: y = ! 23 x ! 4 b: y = 2
n
c: x = 2 d: y = 2
3 x! 8
3
2-10. n = 24;! 650 = 5 26
, Lesson 2.1.2
2-16. Answers will vary.
2-17. a: (0, –6)
b: (–6, 0) and (1, 0)
c: x-intercepts at (0, 0) and (–5, 0) and y-intercept at (0, 0); the graph of p(x) is
6 units lower than q(x)
d: –6
2-18. a: z = 1.5 b: z = – 18
5 c: z = 8 d: z = –3, 2
1 y
2-19. a: 3 b: c: x
x2 y4
2-20. a: 3p + 3d = 22.50 and p + 3d + 3(8) = 37.5, so popcorn costs $4.50 and a soft
drink costs $3.00.
b: Answers will vary.
2-22. Maximum profit is $25 million when n = 5 million.
2-23. a: vertex at (–3, –8), opens up, vertically stretched.
b: x-intercepts (–5, 0) and (–1, 0); y-intercept (0, 10)
2-24. a, b, and c: Answers will vary.
2-25. a: y = (x – 8)2 – 5 b: y = 10(x + 6)2 c: y = –0.6x(x + 7)2 – 2
2-26. Answers will vary.
2-27. a: 5 2 b: 6 2 c: 3 5
2-28. a: x = 46.71 b: x = 8.19
2-29. About $ 365.00. b: y = 300(1.04) x
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