Determine whether Rolle's theorem applies to the function shown below on the given interval. If so, find the point(s) that are guaranteed to exist by Rolle's theorem. f(x) = 9 – x213;[-1,1] Select the correct choice and, if necessary, fill in the answer box to complete your choice. O A. Rolle's Theorem applies and the point(s) guaranteed to exist is/are x = (Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.) O B. Rolle's Theorem does not apply.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Determine whether Rolle's theorem applies to the function shown below on the given interval. If so, find the point(s) that are guaranteed to exist by Rolle's theorem.
2/3
f(x) = 9 - x
';(- 1,1]
...
Select the correct choice and, if necessary, fill in the answer box to complete your choice.
A. Rolle's Theorem applies and the point(s) guaranteed to exist is/are x =
(Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.)
B. Rolle's Theorem does not apply.
Transcribed Image Text:Determine whether Rolle's theorem applies to the function shown below on the given interval. If so, find the point(s) that are guaranteed to exist by Rolle's theorem. 2/3 f(x) = 9 - x ';(- 1,1] ... Select the correct choice and, if necessary, fill in the answer box to complete your choice. A. Rolle's Theorem applies and the point(s) guaranteed to exist is/are x = (Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.) B. Rolle's Theorem does not apply.
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