Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b). (Select all that apply.) f(x) = X - 64, (-8, 8] O Yes, Rolle's Theorem can be applied. O No, because f is not continuous on the closed interval [a, b]. O No, because f is not differentiable in the open interval (a, b). O No, because f (a) * f (b). If Rolle's theorem can be applied, find all values of c 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.) C =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 18E
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Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.)
x2
f(x) =
- 64
[-8, 8]
7
O Yes, Rolle's Theorem can be applied.
O No, because f is not continuous on the closed interval [a, b].
O No, because f is not differentiable in the open interval (a, b).
O No, because f (a) + f (b).
If Rolle's theorem can be applied, find all values of c 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.)
C =
Transcribed Image Text:Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) x2 f(x) = - 64 [-8, 8] 7 O Yes, Rolle's Theorem can be applied. O No, because f is not continuous on the closed interval [a, b]. O No, because f is not differentiable in the open interval (a, b). O No, because f (a) + f (b). If Rolle's theorem can be applied, find all values of c 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.) C =
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