Determine whether Rolle's theorem can be applied to f on the closed interval
[a, b].
(Select all that apply.)
f(x) = (x − 7)(x + 5)2, [−5, 7]
Yes, Rolle's 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).No, because f(a) ≠ f(b).
If Rolle's theorem can be applied, find all values of c in the open interval
(a, b)
such that
f ′(c) = 0.
(Enter your answers as a comma-separated list. If Rolle's theorem cannot be applied, enter NA.)
c =