Let f be a continuous function on the closed interval [-2, 5]. If f (-2)=-7 and f (5) = 1, then the Intermediate Value Theorem guarantees that f(c)=-2 for some value < between -7 and 1 Of' (c) = for at least one value c between -2 and 5 Of(c)=-2 for some value c between -2 and 5. There exists an absolute maximum value of f on [-2, 5].