For the graph below, the concavity switches at x = +1.7 and 0 and there are critical points at x = ±2.2 Use the graph to answer the multiple choice questions on the next page. y food. -2.2 -1.7 1.7 2.2 X

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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For the graph below, the concavity switches at x = +1.7 and 0 and there are critical
points at x = ±2.2
Use the graph to answer the multiple choice questions on the next page.
y
A
-2.2 -1.7
X
1.7 2.2
Transcribed Image Text:For the graph below, the concavity switches at x = +1.7 and 0 and there are critical points at x = ±2.2 Use the graph to answer the multiple choice questions on the next page. y A -2.2 -1.7 X 1.7 2.2
At the point where x = 2.2 there is a(n)
a) Absolute minimum value
b) Local minimum value
c) Both a) 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) Both a) and b)
d) none of these
Questions 6 and 7 deal with functions in general.
6.
If f" (a) = 0 at the point P (a, b), then P(a, b) is an inflection point:
a) Never
b) Sometimes
d) none of these
c) Always
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:At the point where x = 2.2 there is a(n) a) Absolute minimum value b) Local minimum value c) Both a) 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) Both a) and b) d) none of these Questions 6 and 7 deal with functions in general. 6. If f" (a) = 0 at the point P (a, b), then P(a, b) is an inflection point: a) Never b) Sometimes d) none of these c) Always 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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