Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = x + 2' [1, 4] Yes, it does not matter if fis continuous or differentiable; every function satisfies the Mean Value Theorem. o Yes, f is continuous on [1, 4] and differentiable on (1, 4). No, f is not continuous on [1, 4]. No, fis continuous on [1, 4] but not differentiable on (1, 4). There is not enough information to verify if this function satisfies the Mean Value Theorem. If it satisfies the hypotheses, find all numbers c that satisfy the conclusion of the Mean Value Theorem. (Enter your answers as a comma-separated list. If it does not satisfy the hypotheses, enter DNE). C = Need Help? Read It Submit Answer Submit Assignment Save Assignment Progress

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.7: Combining Functions
Problem 5E: Let f and g be functions. (a) The function (f+g)(x) is defined for all values of x that are in the...
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Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval?
f(x)
[1, 4]
x + 2
Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem.
Yes, f is continuous on [1, 4] and differentiable on (1, 4).
No, f is not continuous on [1, 4].
No, f is continuous on [1, 4] but not differentiable on (1, 4).
There is not enough information to verify if this function satisfies the Mean Value Theorem.
If it satisfies the hypotheses, find all numbers c that satisfy the conclusion of the Mean Value Theorem. (Enter your answers as a comma-separated list. If it does not satisfy the hypotheses, enter
DNE).
с 3
Need Help?
Read It
Submit Answer
Submit Assignment
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Transcribed Image Text:Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) [1, 4] x + 2 Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem. Yes, f is continuous on [1, 4] and differentiable on (1, 4). No, f is not continuous on [1, 4]. No, f is continuous on [1, 4] but not differentiable on (1, 4). There is not enough information to verify if this function satisfies the Mean Value Theorem. If it satisfies the hypotheses, find all numbers c that satisfy the conclusion of the Mean Value Theorem. (Enter your answers as a comma-separated list. If it does not satisfy the hypotheses, enter DNE). с 3 Need Help? Read It Submit Answer Submit Assignment Save Assignment Progress
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