Question

Determine whether the Mean Value theorem can be applied to f on the closed interval [a,...

Determine whether the Mean Value theorem can be applied to f on the closed interval

[a, b].

(Select all that apply.)

f(x) =

8 − x

,    [−17, 8]

Yes, the Mean Value Theorem can be applied.

No, because f is not continuous on the closed interval [a, b].

No, because f is not differentiable in the open interval (a, b).

None of the above.



If the Mean Value Theorem can be applied, find all values of c in the open interval

(a, b)

such that

f '(c) =

f(b) − f(a)
b − a

.

(Enter your answers as a comma-separated list. If the Mean Value Theorem cannot be applied, enter NA.)

c =

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