Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 7 [1, 14] X + No, f is not continuous on [1, 14]. Yes, f is continuous on [1, 14] and differentiable on (1, 14). There is not enough information to verify if this function satisfies the Mean Value Theorem. Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem. No, f is continuous on [1, 14] but not differentiable on (1, 14). 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).

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 2CR
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Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval?
f(x) = 7 [1, 14]
X +
No, f is not continuous on [1, 14].
Yes, f is continuous on [1, 14] and differentiable on (1, 14).
There is not enough information to verify if this function satisfies the Mean Value Theorem.
Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem.
No, f is continuous on [1, 14] but not differentiable on (1, 14).
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).
Transcribed Image Text:Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 7 [1, 14] X + No, f is not continuous on [1, 14]. Yes, f is continuous on [1, 14] and differentiable on (1, 14). There is not enough information to verify if this function satisfies the Mean Value Theorem. Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem. No, f is continuous on [1, 14] but not differentiable on (1, 14). 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).
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