1. Considering the following graph of f(x). + -2- 0 -2 4 6 i. Circle the interval(s) where f'(x) is positive. a) (-infinity, 0), (2, 4) c) (1, 3), (4, 4.5) b) (-infinity, 1), (3, 4.5) d) (3,2), (2,5) ii. Circle the interval(s) where f'(x) is negative. a) (0, 1), (4.5, 6) b) (0, 2), (4, 4.5), (4.5, 6) c) (-infinity, 1), (3, 4.5), (5, 6) d) (-infinity, -3), (4.5, 6) iii. Circle the interval(s) where f "(x) is positive. a) (-infinity, 0), (2, 4) c) (1, 3), (4, 4.5) b) (-infinity, 1), (3, 4.5) d) (3,2), (2,5) iv. Circle the interval(s) where f "(x) is negative. a) (-infinity, -3), (4.5, 6) b) (0, 2), (4, 4.5), (4.5, 6) c) (-infinity, 1), (3, 4.5), (5, 6) d) (-infinity, -3), (4.5, 6) v. Which x value(s) correspond to absolute maximums. a) 0 c) 0 & 4 b) 4 vi. Which x value(s) correspond to local minimums. a) -infinity b) 2 c) 6 2. At a local maximum point f'(x) = 0. a) always b) sometimes 3. If f'(x) = 0, then the point (x, f(x)) is an extreme point. a) always b) sometimes 4. If f'(x) = 0 and f "(x) <0, then the point (x, f(x)) is a local minimum. a) always b) sometimes 5. The impact velocity given the height function h(t) = -5t² + 30t. a) 0 b) -10 c) -30 6. The acceleration of the position function s(t) = 4t² - 8t+2 when t = 7. a) 7 b) 48 c) 142 d) None d) 2 & 6 c) never c) never c) never d) 3 d) 8
1. Considering the following graph of f(x). + -2- 0 -2 4 6 i. Circle the interval(s) where f'(x) is positive. a) (-infinity, 0), (2, 4) c) (1, 3), (4, 4.5) b) (-infinity, 1), (3, 4.5) d) (3,2), (2,5) ii. Circle the interval(s) where f'(x) is negative. a) (0, 1), (4.5, 6) b) (0, 2), (4, 4.5), (4.5, 6) c) (-infinity, 1), (3, 4.5), (5, 6) d) (-infinity, -3), (4.5, 6) iii. Circle the interval(s) where f "(x) is positive. a) (-infinity, 0), (2, 4) c) (1, 3), (4, 4.5) b) (-infinity, 1), (3, 4.5) d) (3,2), (2,5) iv. Circle the interval(s) where f "(x) is negative. a) (-infinity, -3), (4.5, 6) b) (0, 2), (4, 4.5), (4.5, 6) c) (-infinity, 1), (3, 4.5), (5, 6) d) (-infinity, -3), (4.5, 6) v. Which x value(s) correspond to absolute maximums. a) 0 c) 0 & 4 b) 4 vi. Which x value(s) correspond to local minimums. a) -infinity b) 2 c) 6 2. At a local maximum point f'(x) = 0. a) always b) sometimes 3. If f'(x) = 0, then the point (x, f(x)) is an extreme point. a) always b) sometimes 4. If f'(x) = 0 and f "(x) <0, then the point (x, f(x)) is a local minimum. a) always b) sometimes 5. The impact velocity given the height function h(t) = -5t² + 30t. a) 0 b) -10 c) -30 6. The acceleration of the position function s(t) = 4t² - 8t+2 when t = 7. a) 7 b) 48 c) 142 d) None d) 2 & 6 c) never c) never c) never d) 3 d) 8
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Transcribed Image Text:1. Considering the following graph of f(x).
+
-2-
0
-2
4
6
i. Circle the interval(s) where f'(x) is positive.
a) (-infinity, 0), (2, 4)
c) (1, 3), (4, 4.5)
b) (-infinity, 1), (3, 4.5)
d) (3,2), (2,5)
ii. Circle the interval(s) where f'(x) is negative.
a) (0, 1), (4.5, 6)
b) (0, 2), (4, 4.5), (4.5, 6)
c) (-infinity, 1), (3, 4.5), (5, 6)
d) (-infinity, -3), (4.5, 6)
Transcribed Image Text:iii. Circle the interval(s) where f "(x) is positive.
a) (-infinity, 0), (2, 4)
c) (1, 3), (4, 4.5)
b) (-infinity, 1), (3, 4.5)
d) (3,2), (2,5)
iv. Circle the interval(s) where f "(x) is negative.
a) (-infinity, -3), (4.5, 6)
b) (0, 2), (4, 4.5), (4.5, 6)
c) (-infinity, 1), (3, 4.5), (5, 6)
d) (-infinity, -3), (4.5, 6)
v. Which x value(s) correspond to absolute maximums.
a) 0
c) 0 & 4
b) 4
vi. Which x value(s) correspond to local minimums.
a) -infinity
b) 2
c) 6
2. At a local maximum point f'(x) = 0.
a) always
b) sometimes
3. If f'(x) = 0, then the point (x, f(x)) is an extreme point.
a) always
b) sometimes
4. If f'(x) = 0 and f "(x) <0, then the point (x, f(x)) is a local minimum.
a) always
b) sometimes
5. The impact velocity given the height function h(t) = -5t² + 30t.
a) 0
b) -10
c) -30
6. The acceleration of the position function s(t) = 4t² - 8t+2 when t = 7.
a) 7
b) 48
c) 142
d) None
d) 2 & 6
c) never
c) never
c) never
d) 3
d) 8
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