Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? Give reasons for your answer. 2/7 E X ;I-5,8] f(x) Choose the correct answer below. A. Yes, f(x) is continuous for every point of (-5,8) and differentiable for every point in [-5,8 B. No, f(x) is differentiable for every point in (-5,8) but is not continuous for every point of [-5,8] C. No, f(x) is continuous for every point of [- 5,8] but is not differentiable for every point in (- 5,8) D. Yes, f(x) is continuous for every point of [-5,8] and differentiable for every point in (-5,8)

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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Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? Give reasons for your answer.
2/7
E X
;I-5,8]
f(x)
Choose the correct answer below.
A. Yes, f(x) is continuous for every point of (-5,8) and differentiable for every point in [-5,8
B. No, f(x) is differentiable for every point in (-5,8) but is not continuous for every point of [-5,8]
C. No, f(x) is continuous for every point of [- 5,8] but is not differentiable for every point in (- 5,8)
D. Yes, f(x) is continuous for every point of [-5,8] and differentiable for every point in (-5,8)
Transcribed Image Text:Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? Give reasons for your answer. 2/7 E X ;I-5,8] f(x) Choose the correct answer below. A. Yes, f(x) is continuous for every point of (-5,8) and differentiable for every point in [-5,8 B. No, f(x) is differentiable for every point in (-5,8) but is not continuous for every point of [-5,8] C. No, f(x) is continuous for every point of [- 5,8] but is not differentiable for every point in (- 5,8) D. Yes, f(x) is continuous for every point of [-5,8] and differentiable for every point in (-5,8)
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