Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? Give reasons for your answer. 6/7 f(x)=x; [-4,8] Choose the correct answer below. OA. Yes, f(x) is continuous for every point of [-4,8] and differentiable for every point in (-4,8). OB. Yes, f(x) is continuous for every point of (-4,8) and differentiable for every point in [-4,8]. C. No, f(x) is differentiable for every point in (-4,8) but is not continuous for every point of [-4,8]. D. No, f(x) is continuous for every point of [-4,8] but is not differentiable for every point in (-4,8).

College Algebra (MindTap Course List)
12th Edition
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Author:R. David Gustafson, Jeff Hughes
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Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? Give reasons for your
answer.
f(x)=x6/7; [-4,8]
Choose the correct answer below.
O A. Yes, f(x) is continuous for every point of [-4,8] and differentiable for every point in (-4,8).
OB. Yes, f(x) is continuous for every point of (-4,8) and differentiable for every point in [-4,8].
O C. No, f(x) is differentiable for every point in (-4,8) but is not continuous for every point of [-4,8].
OD. No, f(x) is continuous for every point of [-4,8] but is not differentiable for every point in (-4,8).
Transcribed Image Text:Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? Give reasons for your answer. f(x)=x6/7; [-4,8] Choose the correct answer below. O A. Yes, f(x) is continuous for every point of [-4,8] and differentiable for every point in (-4,8). OB. Yes, f(x) is continuous for every point of (-4,8) and differentiable for every point in [-4,8]. O C. No, f(x) is differentiable for every point in (-4,8) but is not continuous for every point of [-4,8]. OD. No, f(x) is continuous for every point of [-4,8] but is not differentiable for every point in (-4,8).
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