(a) In the viewing rectangle [–3, 3] by [–5, 5], graph the function f(x) = x2 – 2x and its secant line through the points (– 2, – 4) and (2, 4). Use the graph to estimate the -coordinates of the points where the tangent line is parallel to the secant line.
(b) Find the exact values of the numbers that satisfy the conclusion of the Mean Value Theorem for the interval [– 2, 2] and compare with your answers to part (a).