Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? Give reasons for your answer. 8/9 f(x)=x [-6,8] Choose the correct answer below. CL OA. No, f(x) is differentiable for every point in (-6,8) but is not continuous for every point of [-6,8]. OB. Yes, f(x) is continuous for every point of [-6,8] and differentiable for every point in (-6,8). OC. No, f(x) is continuous for every point of [-6,8] but is not differentiable for every point in (-6,8). OD. Yes, f(x) is continuous for every point of (-6,8) and differentiable for every point in [-6,8].
Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? Give reasons for your answer. 8/9 f(x)=x [-6,8] Choose the correct answer below. CL OA. No, f(x) is differentiable for every point in (-6,8) but is not continuous for every point of [-6,8]. OB. Yes, f(x) is continuous for every point of [-6,8] and differentiable for every point in (-6,8). OC. No, f(x) is continuous for every point of [-6,8] but is not differentiable for every point in (-6,8). OD. Yes, f(x) is continuous for every point of (-6,8) and differentiable for every point in [-6,8].
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 18E
Related questions
Question
![Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? Give reasons for your answer.
8/9
f(x)=x; [-6,8]
Choose the correct answer below.
A. No, f(x) is differentiable for every point in (-6,8) but is not continuous for every point of [- 6,8].
OB. Yes, f(x) is continuous for every point of [-6,8] and differentiable for every point in (-6,8).
OC. No, f(x) is continuous for every point of [-6,8] but is not differentiable for every point in (-6,8).
O D. Yes, f(x) is continuous for every point of (-6,8) and differentiable for every point in [-6,8].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F02c8dc93-8b6f-4993-a985-0ce320a356a6%2F2b4a2650-6679-4497-a875-4a7586bac4b4%2Ffrcc46_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? Give reasons for your answer.
8/9
f(x)=x; [-6,8]
Choose the correct answer below.
A. No, f(x) is differentiable for every point in (-6,8) but is not continuous for every point of [- 6,8].
OB. Yes, f(x) is continuous for every point of [-6,8] and differentiable for every point in (-6,8).
OC. No, f(x) is continuous for every point of [-6,8] but is not differentiable for every point in (-6,8).
O D. Yes, f(x) is continuous for every point of (-6,8) and differentiable for every point in [-6,8].
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