Consider the function f(x) = x f(x) is f(x) is f(0) = f(4) = 4x + 2 on the interval [0, 4]. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval. on [0, 4]: on (0, 4); Then by Rolle's theorem, there exists a c such that f'(c) = 0. Find the value c.