Determine whether Rolle's Theorem can be applied to fon the closed interval [a, b]. (Select all that apply.) f(x) = (x - 1)(x - 4)(x- 8), [1, 8] 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). ONo, 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.) 1

Determine whether Rolle's Theorem can be applied to fon the closed interval [a, b]. (Select all that apply.) f(x) = (x - 1)(x - 4)(x- 8), [1, 8] 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). ONo, 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.) 1

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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