Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = In(x), [1, 8] O Yes, it does not matter if f is continuous or differentiable, every function satisfies the Mean Value Theorem. O Yes, fis continuous on [1, 8] and differentiable on (1, 8). O No, f is not continuous on [1, 8]. O No, f is continuous on [1, 8] but not differentiable on (1, 8). O There is not enough information to verify if this function satisfies the Mean Value Theorem. If it satisfies the hypotheses, find all numbers c that satisfy the conclusion of the Mean Value Theorem. (Enter your answers as a comma-separated list. If it does not satisfy the hypotheses, enter DNE). C =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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both of these questions please
Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval?
(x) = In(x),
[1, 8]
O Yes, it does not matter if f is continuous or differentiable, every function satisfies the Mean Value Theoren.
O Yes, fis continuous on [1, 8] and differentiable on (1, 8).
O No, f is not continuous on [1, 8].
O No, f is continuous on [1, 8] but not differentiable on (1, 8).
O There is not enough information to verify if this function satisfies the Mean Value Theorem.
If it satisfies the hypotheses, find all numbers c that satisfy the conclusion of the Mean Value Theorem. (Enter your answers as a comma-separated list. If it does not satisfy the
hypotheses, enter DNE).
C =
MY NOTES
ASK YC
6.
DETAILS
SCALCET9M 2.5.009.
Sketch the graph of a function f that is defined on R and continuous except for the stated discontinuities.
discontinuities at 0 and 4 but continuous from the right at 0 and fromn the left at 4
y
4
2
Transcribed Image Text:Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? (x) = In(x), [1, 8] O Yes, it does not matter if f is continuous or differentiable, every function satisfies the Mean Value Theoren. O Yes, fis continuous on [1, 8] and differentiable on (1, 8). O No, f is not continuous on [1, 8]. O No, f is continuous on [1, 8] but not differentiable on (1, 8). O There is not enough information to verify if this function satisfies the Mean Value Theorem. If it satisfies the hypotheses, find all numbers c that satisfy the conclusion of the Mean Value Theorem. (Enter your answers as a comma-separated list. If it does not satisfy the hypotheses, enter DNE). C = MY NOTES ASK YC 6. DETAILS SCALCET9M 2.5.009. Sketch the graph of a function f that is defined on R and continuous except for the stated discontinuities. discontinuities at 0 and 4 but continuous from the right at 0 and fromn the left at 4 y 4 2
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