Consider the following function and closed interval.f(x)=(x 5)(x 7)(x 9),[5,9]Is f continuous on the closed interval [5,9]?YesNoIf f is differentiable on the open interval (5,9), findf'(x).(If it is not differentiable on the open interval, enter DNE.)f'(x)=Find f(5) and f(9).f(5)=f(9)=Determine whether Rolle's Theorem can be applied to f on the closed interval[a, b].(Select all that apply.)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 thatf'(c)=0.(Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.)c =