Let f(x) = (x − 3)−2. find all values of c in (1, 7) such that f(7) − f(1) = f '(c)(7 − 1). (enter your answers as a comma-separated list. if an answer does not exist, enter dne.) c = based off of this information, what conclusions can be made about the mean value theorem? this contradicts the mean value theorem since f satisfies the hypotheses on the given interval but there does not exist any c on (1, 7) such that f '(c) = f(7) − f(1) 7 − 1 . this does not contradict the mean value theorem since f is not continuous at x = 3. this does not contradict the mean value theorem since f is continuous on (1, 7), and there exists a c on (1, 7) such that f '(c) = f(7) − f(1) 7 − 1 . this contradicts the mean value theorem since there exists a c on (1, 7) such that f '(c) = f(7) − f(1) 7 − 1 , but f is not continuous at x = 3. nothing can be concluded.