11:15 AM Wed Apr 1 * 41%O 4. УЛ -2: 3 -2 -1 -1 2 3 4 х -2. 3. For Exercises 50-160, draw a graph to match the description given. Answers will vary. 5. f(x) is increasing over (– ∞, 2) and decreasing over (2, ∞). 6. g(x) is decreasing over (– o∞, – 3) and increasing over (– 3, ∞). 7. G(x) is decreasing over ( o, 4) and (9, ∞) and increasing over (4, 9). 8. F(x) is increasing over (- ∞, 5) and (12, ∞) and decreasing over (5, 12). 9. g(x) has a positive derivative over (- ∞, – 3) and a negative derivative over (– 3, c0). 10. f(x) has a negative derivative over (- 0o, 1) and a positive derivative over (1, ). 11. F(x) has a negative derivative over (– ∞, 2) and (5, 9) and a positive derivative over (2, 5) and (9, ∞). 12. G(x) has a positive derivative over (– o, – 2) and (4, 7) and a negative derivative over (– 2, 4) and (7, ∞). 13. g(x) has a negative derivative over (– o, 5) and (5, 8), a positive derivative over (8, o), and a derivative equal to 0 at x = 5. 14. G(x) has a positive derivative over (– o, 0) and (3, ∞) and a negative derivative over (0, 3), but neither G (0) nor G (3) exists. 15. g(x) has a positive derivative over (– 0, – 3) and (0, 3), a negative derivative over (– 3, 0) and (3, o), and a derivative equal to 0 at x = - 3 and x = 3, but g (0) does not exist.
11:15 AM Wed Apr 1 * 41%O 4. УЛ -2: 3 -2 -1 -1 2 3 4 х -2. 3. For Exercises 50-160, draw a graph to match the description given. Answers will vary. 5. f(x) is increasing over (– ∞, 2) and decreasing over (2, ∞). 6. g(x) is decreasing over (– o∞, – 3) and increasing over (– 3, ∞). 7. G(x) is decreasing over ( o, 4) and (9, ∞) and increasing over (4, 9). 8. F(x) is increasing over (- ∞, 5) and (12, ∞) and decreasing over (5, 12). 9. g(x) has a positive derivative over (- ∞, – 3) and a negative derivative over (– 3, c0). 10. f(x) has a negative derivative over (- 0o, 1) and a positive derivative over (1, ). 11. F(x) has a negative derivative over (– ∞, 2) and (5, 9) and a positive derivative over (2, 5) and (9, ∞). 12. G(x) has a positive derivative over (– o, – 2) and (4, 7) and a negative derivative over (– 2, 4) and (7, ∞). 13. g(x) has a negative derivative over (– o, 5) and (5, 8), a positive derivative over (8, o), and a derivative equal to 0 at x = 5. 14. G(x) has a positive derivative over (– o, 0) and (3, ∞) and a negative derivative over (0, 3), but neither G (0) nor G (3) exists. 15. g(x) has a positive derivative over (– 0, – 3) and (0, 3), a negative derivative over (– 3, 0) and (3, o), and a derivative equal to 0 at x = - 3 and x = 3, but g (0) does not exist.
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
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Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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#15
Transcribed Image Text:11:15 AM Wed Apr 1
* 41%O
4.
УЛ
-2:
3 -2 -1
-1
2 3 4
х
-2.
3.
For Exercises 50-160, draw a graph to match the description given. Answers will vary.
5. f(x) is increasing over (– ∞, 2) and decreasing over (2, ∞).
6. g(x) is decreasing over (– o∞, – 3) and increasing over (– 3, ∞).
7. G(x) is decreasing over (
o, 4) and (9, ∞) and increasing over (4, 9).
8. F(x) is increasing over (- ∞, 5) and (12, ∞) and decreasing over (5, 12).
9. g(x) has a positive derivative over (- ∞, – 3) and a negative derivative over
(– 3, c0).
10. f(x) has a negative derivative over (- 0o, 1) and a positive derivative over
(1, ).
11. F(x) has a negative derivative over (– ∞, 2) and (5, 9) and a positive
derivative over (2, 5) and (9, ∞).
12. G(x) has a positive derivative over (– o, – 2) and (4, 7) and a negative
derivative over (– 2, 4) and (7, ∞).
13. g(x) has a negative derivative over (– o, 5) and (5, 8), a positive derivative
over (8, o), and a derivative equal to 0 at x = 5.
14. G(x) has a positive derivative over (– o, 0) and (3, ∞) and a negative
derivative over (0, 3), but neither G (0) nor G (3) exists.
15. g(x) has a positive derivative over (– 0, – 3) and (0, 3), a negative derivative
over (– 3, 0) and (3, o), and a derivative equal to 0 at x =
- 3 and x = 3, but
g (0) does not exist.
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