Does the function satisfy the hypotheses of the mean value theorem on the given interval? Give reasons for your answer. f(x) = x'; [0,1] Choose the correct answer. A. No, f(x) is continuous for every point of [0,1] but is not differentiable for every point in (0,1). B. No, f(x) is differentiable for every point in (0,1) but is not continuous for every point of [0,1]. C. Yes, f(x) is continuous for every point of (0,1) and differentiable for every point in [0,1]. D. Yes, f(x) is continuous for every point of [0,1] and differentiable for every point in (0,1).

Does the function satisfy the hypotheses of the mean value theorem on the given interval? Give reasons for your answer. f(x) = x'; [0,1] Choose the correct answer. A. No, f(x) is continuous for every point of [0,1] but is not differentiable for every point in (0,1). B. No, f(x) is differentiable for every point in (0,1) but is not continuous for every point of [0,1]. C. Yes, f(x) is continuous for every point of (0,1) and differentiable for every point in [0,1]. D. Yes, f(x) is continuous for every point of [0,1] and differentiable for every point in (0,1).

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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