Explain why Rolle's Theorem does not apply to the function even though there exist a and b such that f(a) = f(b). (Select all that apply.) f(x) = cot , [л, 5л] O There are points on the interval (a, b) where f is not differentiable. O None of these. O f(a) does not equal f(b) for all possible values of a and b in the interval [A, 57]. O There are points on the interval [a, b] where f is not continuous. O f '(a) does not equal f '(b) for any values in the interval [T, 57).

Explain why Rolle's Theorem does not apply to the function even though there exist a and b such that f(a) = f(b). (Select all that apply.) f(x) = cot , [л, 5л] O There are points on the interval (a, b) where f is not differentiable. O None of these. O f(a) does not equal f(b) for all possible values of a and b in the interval [A, 57]. O There are points on the interval [a, b] where f is not continuous. O f '(a) does not equal f '(b) for any values in the interval [T, 57).

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 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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