Determine whether Rolle's theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) f(x) = 9|x 91, [0, 18] Yes, Rolle's theorem can be applied. No, because f is not continuous on the closed interval [a, b]. No, because f is not differentiable on the open interval (a, b). No, because f(a) ‡ f(b). 0000 If Rolle's theorem can be applied, find all values of c in the open interval (a, b) such that f'(c): be applied, enter NA.) = 0. (Enter you C =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 57E
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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) = 9|x - 91, [0, 18]
Yes, Rolle's theorem can be applied.
No, because f is not continuous on the closed interval [a, b].
No, because f is not differentiable on the open interval (a, b).
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 you
be applied, enter NA.)
C =
X
X
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) = 9|x - 91, [0, 18] Yes, Rolle's theorem can be applied. No, because f is not continuous on the closed interval [a, b]. No, because f is not differentiable on the open interval (a, b). 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 you be applied, enter NA.) C = X X
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