Consider the following function and closed interval. f(x) = x2/3 - 3, [-8, 8] Is f continuous on the closed interval [-8, 8]?

Question

Consider the following function and closed interval.
f(x) = x2/3
- 3, [-8, 8]
Is f continuous on the closed interval [-8, 8]?
Yes
No
If f is differentiable on the open interval (-8, 8), find f'(x). (If it is not differentiable on the open interval, enter DNE.)
f'(x) =
Find f(-8) and f(8).
f(-8) =
f(8) =
Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.)
Yes, Rolle's Theorem can be applied.
C =
No, because f is not continuous on the closed interval [a, b].
No, because f is not differentiable in the open interval (a, b).
No, because f(a) = f(b).
If Rolle's Theorem can be applied, find all values of in the open interval (a, b) such that f'(c) = 0. (Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.)

Kunduz · Accepted Answer

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