Determine whether Rolle's Theorem can be applied to f on the dosed interval [a, b]. (Select all that apply.) 2-2x-8 fx) = [-2, 4] x +5 O Yes, Rolle's Theorem can be applied. O No, because f is not continuous on the dosed 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.)

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 dosed interval [a, b]. (Select all that apply.)
2- 2x - 8
f(x) =
[-2, 4]
x +5
O Yes, Rolle's Theorem can be applied.
O No, becausef is not continuous on the dosed interval [a, b].
O No, because f is not differentiable in the open interval (a, b).
O No, because f(a) = fb).
If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that (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 dosed interval [a, b]. (Select all that apply.) 2- 2x - 8 f(x) = [-2, 4] x +5 O Yes, Rolle's Theorem can be applied. O No, becausef is not continuous on the dosed interval [a, b]. O No, because f is not differentiable in the open interval (a, b). O No, because f(a) = fb). If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that (C) = 0. (Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.)
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