Verify that the function f (x) = 2x^{2}−4x+3 satisfies the three hypotheses of Rolle’s Theorem on the interval [−1,3]. Then find all numbers c that satisfy the conclusion of Rolle’s Theorem.

^{2}−4x+3 satisfies the three hypotheses of Rolle’s Theorem on the interval [−1,3]. Then find all numbers c that satisfy the conclusion of Rolle’s Theorem.