Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b). (Select all that apply.) f(x) = (x - 6)(x - 7)(x - 9), [6, 9] V Yes, Rolle's Theorem can be applied. O No, because f is not continuous on the closed 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.)
Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b). (Select all that apply.) f(x) = (x - 6)(x - 7)(x - 9), [6, 9] V Yes, Rolle's Theorem can be applied. O No, because f is not continuous on the closed 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 closed interval [a, b]. (Select all that apply.)
f(x) = (x – 6)(x - 7)(x – 9), [6, 9]
V Yes, Rolle's Theorem can be applied.
O No, because f is not continuous on the closed 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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff801cf7c-484f-408b-a067-9568c7ab716c%2Fd8274792-0fa6-413a-9a3c-3f2506ac3c98%2Fxim831_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.)
f(x) = (x – 6)(x - 7)(x – 9), [6, 9]
V Yes, Rolle's Theorem can be applied.
O No, because f is not continuous on the closed 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.)
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