Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? (x) = In(x), [1, 4] O Yes, it does not matter if f is continuous or differentiable, every function satisfies the Mean Value Theorem. O Yes, fis continuous on [1, 4] and differentiable on (1, 4). O No, fis not continuous on [1, 4]. O No, fis continuous on [1, 4] but not differentiable on (1, 4). O There is not enough information to verify if this function satisfies the Mean Value Theorem. If it satisfies the hypotheses, find all numbers c that satisfy the conclusion of the Mean Value Theorem. (Enter your answers as comma-separated list. If it does not satisfy the hypotheses, enter DNE). Sketch the graph of a function that satisfies all of the given conditions. -2 > > -2 O 2 O 0 if x < 0 or 2 < x < 4, 0 if 0 < x < 2 or x > 4, 0 if 1 < x < 3, 0 if x < 1 or x > 3 6 2 -2 6 2 -2 2 2 4 4 x 6 x 6 O 2 O 2 -2 -6 6 2 2 2 4 4 x x 6