x2 4. a) Determine whether Rolle's Theorem can be applied to f(x) [-2,2]. (Enter 1-х2 your answers using interval notation. If no answer exists write DNE) b) If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that f'(c) = 0. If Rolle’s Theorem cannot be applied, explain why not. (If the theorem cannot be applied, enter NA) %3D

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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x2
4. a) Determine whether Rolle's Theorem can be applied to f(x) =
1-х2
[-2,2]. (Enter
your answers using interval notation. If no answer exists write DNE)
b) If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that
f'(c) = 0. If Rolle's Theorem cannot be applied, explain why not. (If the theorem cannot be
applied, enter NA)
Transcribed Image Text:x2 4. a) Determine whether Rolle's Theorem can be applied to f(x) = 1-х2 [-2,2]. (Enter your answers using interval notation. If no answer exists write DNE) b) If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that f'(c) = 0. If Rolle's Theorem cannot be applied, explain why not. (If the theorem cannot be applied, enter NA)
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