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 21 -2 -6- a 5 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 SF f'(x)dx will tell us how much the function f(x) decreases in its output on the interval [0,5]. (b) At x = 10, the graph of f(x) passes through the point (10,4). Select- (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-

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 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-
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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