For the graph below, the concavity switches at x = ±1.7 and 0 and there are critical points at x 12.2 Use the graph to answer the multiple choice questions on the next page. AJ. 1.7 2.2 Multiple Choice 1. Choose the intervals where f'(x) is positive a) (-∞, -2.2) and (2.2,00) b) (-∞, -1.7) and (1.7,00) d) none of these c) (-1.7, 1.7) 2. Choose the intervals where f"(x) is positive a) (-∞, -2.2) and (2.2,00) b) (-∞, -1.7) and (0,1.7) d) none of these c) (-1.7, 1.7) 3. Which of the following pairs of intervals shows that the product of f'(x) and f"(x) > 0? a) (-2.2,-1.7) and (0,1.7) b) (-∞, -1.7) and (1.7,00) c) (-1.7,0) and (1.7.2.2) d) none of these

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
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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For the graph below, the concavity switches at x = ±1.7 and 0 and there are critical
points at x 12.2
Use the graph to answer the multiple choice questions on the next page.
AN
1.7 2.2
Multiple Choice
1.
Choose the intervals where f'(x) is positive
a) (-∞, -2.2) and (2.2,00)
b) (-∞, -1.7) and (1.7,00)
d) none of these
c) (-1.7, 1.7)
2.
Choose the intervals where f"(x) is positive
a) (-∞, -2.2) and (2.2,00)
b) (-∞, -1.7) and (0,1.7)
d) none of these
c) (-1.7, 1.7)
3.
Which of the following pairs of intervals shows that the product of
f'(x) and f"(x) > 0?
a) (-2.2,-1.7) and (0,1.7)
b) (-∞, -1.7) and (1.7,00)
c) (-1.7,0) and (1.7.2.2)
d) none of these
At the point where x = 2.2 there is a(n)
a) Absolute minimum value
b) Local minimum value
c) Botha) and b)
d) none of these
At the point where x = -2.2 there is a(n)
a) Absolute maximum value
b) Local maximum value
c) Botha) and b)
d) none of these
Questions 6 and 7 deal with functions in general.
6.
Iff" (a) = 0 at the point P(a, b), then P(a, b) is an inflection point:
a) Never
b) Sometimes
c) Always
d) none of these
If f'(a) = 0 and f'(a) > 0, then P(a, f(a)) is a maximum:
a) Never
b) Sometimes
c) Always
d) none of these
4.
5.
7.
Transcribed Image Text:For the graph below, the concavity switches at x = ±1.7 and 0 and there are critical points at x 12.2 Use the graph to answer the multiple choice questions on the next page. AN 1.7 2.2 Multiple Choice 1. Choose the intervals where f'(x) is positive a) (-∞, -2.2) and (2.2,00) b) (-∞, -1.7) and (1.7,00) d) none of these c) (-1.7, 1.7) 2. Choose the intervals where f"(x) is positive a) (-∞, -2.2) and (2.2,00) b) (-∞, -1.7) and (0,1.7) d) none of these c) (-1.7, 1.7) 3. Which of the following pairs of intervals shows that the product of f'(x) and f"(x) > 0? a) (-2.2,-1.7) and (0,1.7) b) (-∞, -1.7) and (1.7,00) c) (-1.7,0) and (1.7.2.2) d) none of these At the point where x = 2.2 there is a(n) a) Absolute minimum value b) Local minimum value c) Botha) and b) d) none of these At the point where x = -2.2 there is a(n) a) Absolute maximum value b) Local maximum value c) Botha) and b) d) none of these Questions 6 and 7 deal with functions in general. 6. Iff" (a) = 0 at the point P(a, b), then P(a, b) is an inflection point: a) Never b) Sometimes c) Always d) none of these If f'(a) = 0 and f'(a) > 0, then P(a, f(a)) is a maximum: a) Never b) Sometimes c) Always d) none of these 4. 5. 7.
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