Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? Give reasons for your answer. f(x) = x 6/7 ;[- 6,3] Choose the correct answer below. A. Yes, f(x) is continuous for every point of [-6,3] and differentiable for every point in (- 6,3). B. Yes, f(x) is continuous for every point of (-6,3) and differentiable for every point in [- 6,3]. C. No, f(x) is continuous for every point of [-6,3] but is not differentiable for every point in (- 6,3). D. No, f(x) is differentiable for every point in (-6,3) but is not continuous for every point of [-6,3].
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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) = x
6/7
;[- 6,3]
Choose the correct answer below.
A. Yes, f(x) is continuous for every point of [-6,3] and differentiable for every point in (- 6,3).
B. Yes, f(x) is continuous for every point of (-6,3) and differentiable for every point in [- 6,3].
C. No, f(x) is continuous for every point of [-6,3] but is not differentiable for every point in (- 6,3).
D. No, f(x) is differentiable for every point in (-6,3) but is not continuous for every point of [-6,3].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8a6d9eff-5005-449d-8fe7-850b09d3d5bf%2Fc7d205be-cf08-4790-b376-cfbabe652f80%2F6mi5mx.png&w=3840&q=75)
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