Let f(x) = (x 3)-2. Find all values of c in (2, 5) such that f(5) f(2)= f'(c)(5-2). (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?O This contradicts the Mean Value Theorem since f satisfiesf(5)-f(2)hypotheses on the given interval but there does not exist any c on (2, 5) such that f'(c) =O This does not contradict the Mean Value Theorem since fis not continuous at x = 3.O This does not contradict the Mean Value Theorem since f is continuous on (2, 5), and there exists a c on (2, 5) such that f'(c) = (5)-(2)O This contradicts the Mean Value Theorem since there exists a c on (2, 5) such that f'(c) = f(5)-(2), but f is not continuous at x = 3.Nothing can be concluded.

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Let f(x)=(x-3)-2. Find all values of c in (2, 5) such that f(5) f(2)= f'(c)(5-2). (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? O This contradicts the Mean Value Theorem since f satisfies the hypotheses on the given interval but there does not exist any c on (2, 5) such that f'(c) = f(5)-(2). O This does not contradict the Mean Value Theorem since fis not continuous at x = 3. O This does not contradict the Mean Value Theorem since fis continuous on (2, 5), and there exists a c on (2, 5) such that f'(c) =(5-2). O This contradicts the Mean Value Theorem since there exists a c on (2, 5) such that f'(c) = (5)-2), but f is not continuous at x = 3. Nothing can be concluded.