Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) f(x)=x², [-1, 3] Yes, the Mean Value Theorem can be applied. No, f is not continuous on [a, b]. No, f is not differentiable on (a, b). None of the above. If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that f'(c) = f(b)-f(a). (Enter your answers as a comma-separated list. If the Mean Value Theorem b-a cannot be applied, enter NA.) C =

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 94E
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Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select all that apply.)
f(x) = x², [-1, 3]
Yes, the Mean Value Theorem can be applied.
No, f is not continuous on [a, b].
No, f is not differentiable on (a, b).
None of the above.
If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that f'(c) = f(b)-f(a). (Enter your answers as a comma-separated list. If the Mean Value Theorem
b-a
cannot be applied, enter NA.)
C =
Transcribed Image Text:Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) f(x) = x², [-1, 3] Yes, the Mean Value Theorem can be applied. No, f is not continuous on [a, b]. No, f is not differentiable on (a, b). None of the above. If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that f'(c) = f(b)-f(a). (Enter your answers as a comma-separated list. If the Mean Value Theorem b-a cannot be applied, enter NA.) C =
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