Determine whether Rolle's Theorem can be applied to f on the closed interval (a, b]. (Select all that apply.) f(x) = X- 81, [-9, 9] 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, becausef (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 ca

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
Question

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Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.)
f(x) = x - 81
X - 1
[-9, 9]
O Yes, Rolle's Theorem can be applied.
O No, because f is not continuous on the closed interval [a, b1.
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) = o. (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.) f(x) = x - 81 X - 1 [-9, 9] O Yes, Rolle's Theorem can be applied. O No, because f is not continuous on the closed interval [a, b1. 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) = o. (Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.) C =
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