Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) x2 - 4x - 5 f(x) = [-1, 5) x + 4 O Yes, Rolle's Theorem can be applied. No, because f is not continuous on the closed interval [a, b]. No, because fis 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 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 = -5 – 2V10

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 - 4x
5
f(x)
[-1, 5]
х+ 4
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 in 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 your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.)
-5 – 2v10 x
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 - 4x 5 f(x) [-1, 5] х+ 4 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 in 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 your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.) -5 – 2v10 x C =
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