The graph of a function f is shown. 1 Does f satisfy the hypotheses of the Mean Value Theorem on the interval [0, 5]? O Yes, because f is continuous on the closed interval [0, 5] and differentiable on the open interval (0, 5). O Yes, because f is continuous on the open interval (0, 5) and differentiable on the closed interval [0, 5]. O Yes, because f has a maximum on the closed interval [0, 5]. O No, because f does not have a minimum on the closed interval [0, 5]. O No, because f is not differentiable on the open interval (0, 5). O No, because f is not continuous on the open interval (0, 5). If so, find a value c that satisfies the conclusion of the Mean Value Theorem on that interval. (If an answer does not exist, enter DNE.) C =
The graph of a function f is shown. 1 Does f satisfy the hypotheses of the Mean Value Theorem on the interval [0, 5]? O Yes, because f is continuous on the closed interval [0, 5] and differentiable on the open interval (0, 5). O Yes, because f is continuous on the open interval (0, 5) and differentiable on the closed interval [0, 5]. O Yes, because f has a maximum on the closed interval [0, 5]. O No, because f does not have a minimum on the closed interval [0, 5]. O No, because f is not differentiable on the open interval (0, 5). O No, because f is not continuous on the open interval (0, 5). If so, find a value c that satisfies the conclusion of the Mean Value Theorem on that interval. (If an answer does not exist, enter DNE.) C =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 80E
Related questions
Question
![The graph of a function f is shown.
yA
F1
1
Does f satisfy the hypotheses of the Mean Value Theorem on the interval [0, 5]?
Yes, because f is continuous on the closed interval [0, 5] and differentiable on the open interval (0, 5).
O Yes, because f is continuous on the open interval (0, 5) and differentiable on the closed interval [0, 5].
O Yes, because f has a maximum on the closed interval [0, 5].
O No, because f does not have a minimum on the closed interval [0, 5].
O No, because f is not differentiable on the open interval (0, 5).
O No, because f is not continuous on the open interval (0, 5).
If so, find a value c that satisfies the conclusion of the Mean Value Theorem on that interval. (If an answer does not exist, enter DNE.)
C =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0a03efe2-d931-4461-b3ce-5e694888ce83%2F5a4b8390-6389-423c-97b0-0aeb926bc9b0%2Fhgv0xr_processed.png&w=3840&q=75)
Transcribed Image Text:The graph of a function f is shown.
yA
F1
1
Does f satisfy the hypotheses of the Mean Value Theorem on the interval [0, 5]?
Yes, because f is continuous on the closed interval [0, 5] and differentiable on the open interval (0, 5).
O Yes, because f is continuous on the open interval (0, 5) and differentiable on the closed interval [0, 5].
O Yes, because f has a maximum on the closed interval [0, 5].
O No, because f does not have a minimum on the closed interval [0, 5].
O No, because f is not differentiable on the open interval (0, 5).
O No, because f is not continuous on the open interval (0, 5).
If so, find a value c that satisfies the conclusion of the Mean Value Theorem on that interval. (If an answer does not exist, enter DNE.)
C =
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