Let f be a continuous function on the closed interval [-2,

Last updated: 7/9/2022

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 c between -7 and 1 f' (c) = for at least one value c between -2 and 5 f(c) = -2 for some value c between -2 and 5. There exists an absolute maximum value of f on [-2, 5].