Let f x x 3 2 Find all values of c in 1 4 such that f 4 f 1

Last updated: 10/17/2023

Let f x x 3 2 Find all values of c in 1 4 such that f 4 f 1 f c 4 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 O This contradicts the Mean Value Theorem since f satisfies the hypotheses on the given interval but there does not exist any c on 1 4 such that f c This does not contradict the Mean Value Theorem since f is not continuous at x 3 f 4 f 1 This does not contradict the Mean Value Theorem since f is continuous on 1 4 and there exists a c on 1 4 such that f c This contradicts the Mean Value Theorem since there exists a c on 1 4 such that f c f 4 f 1 but f is not continuous at x 3 4 1 Nothing can be concluded f 4 f 1 4 1