Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b). (Select all that apply.) x2 - 2x - 8 f(x) = [-2, 4] x + 6 V 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 - 2x - 8
x + 6
f(x) =
[-2, 4]
V 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.)
Transcribed Image Text:Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) x2 - 2x - 8 x + 6 f(x) = [-2, 4] V 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.)
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