The function f is continuous on the closed interval [-2,1] with f(-2)=7 and f(1)=-2. Of the following conditions, which could guarantee that there is a number c in the open interval (-2,1) where f’(c) =-3? A) f is never increasing on the closed interval [-2,1].
B) f is differential on the open interval (-2,1).
C) f has both a minimum and maximum on the closed interval [-2,1].
D) f(0)=1