Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Question
For a continuous function f(x), the graph of its derivative, f'(x) is shown below.
Graph of f'(x) NOT f(x)
y
8
6
4
21
-2
-6-
a
S
O
10
15
20
f'(x),
25
X
Suppose the function f(x) has a graph that passes through the point (0,9). Use this information along with the graph of f'(x) to indicate whether each statement is true or false.
(a) The
S f'(x)dx will tell us how much the function f(x) decreases in its output on the interval [0,5].
Select-
(b) At x = 10, the graph of f(x) passes through the point (10,4).
(c) There's an inflection point on the graph of f(x) at x = 15.
(d) On the interval [15,25], the graph of f(x) is concave up.
(e) There is a critical point at x = 5 on the graph of f(x).
Select
Select-
Select--
-Select-
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Transcribed Image Text:For a continuous function f(x), the graph of its derivative, f'(x) is shown below. Graph of f'(x) NOT f(x) y 8 6 4 21 -2 -6- a S O 10 15 20 f'(x), 25 X Suppose the function f(x) has a graph that passes through the point (0,9). Use this information along with the graph of f'(x) to indicate whether each statement is true or false. (a) The S f'(x)dx will tell us how much the function f(x) decreases in its output on the interval [0,5]. Select- (b) At x = 10, the graph of f(x) passes through the point (10,4). (c) There's an inflection point on the graph of f(x) at x = 15. (d) On the interval [15,25], the graph of f(x) is concave up. (e) There is a critical point at x = 5 on the graph of f(x). Select Select- Select-- -Select-
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