ASR YOUR TEACHER PRACTICE ANOT Determine whether Rolle's Theorem can be applied to fon the closed interval [a, b]. (Select all that apply.) Rx) = * x2 - 81 x- 5 [-9, 9] O Yes, Rolle's Theorem can be applied. A No, because f is not continuous on the closed interval [a, b). No, because f is not differentiable in the open interval (a, b). ONo, becausef (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.)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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ASR YOUR TEACHER
PRACTICE ANOT
Determine whether Rolle's Theorem can be applied to fon the closed interval [a, b]. (Select all that apply.)
x2 - 81
F(x) = -5
[-9, 9]
O Yes, Rolle's Theorem can be applied.
V No., because fis not continuous on the closed interval [a, b).
No, because f is not differentiable in the open interval (a, b).
ONo, becausef (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.)
Transcribed Image Text:ASR YOUR TEACHER PRACTICE ANOT Determine whether Rolle's Theorem can be applied to fon the closed interval [a, b]. (Select all that apply.) x2 - 81 F(x) = -5 [-9, 9] O Yes, Rolle's Theorem can be applied. V No., because fis not continuous on the closed interval [a, b). No, because f is not differentiable in the open interval (a, b). ONo, becausef (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.)
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