Use the piecewise defined function below to answer the questions, AN - AX+ C X51 RX ) - M(x = 1) + 10 851 (a) Find the value of C so that ((x) is continuous at * = 1 . (b) Find the value of M so that (x) is differentiable at x = 1. (c) Using your values of C and M, find F (x) for each of these intervals. For x $ 1: /(x) - For * > 1: 1'(x)