For a fixed integer n 0, denote by Pn the set of all polynomials with degree at most n. For each part, determine whether the given function is a linear transformation. Justify your answer using either a proof or a specific counter-example. (a) The function T: R R given by T(x, x2) = (e, X + 4x2). (b) The function T: P5 P5 given by T(f(x)) = x- ;((x)) +4(x) = x "(x) + 4(x). dx (c) The function T: P2P4 given by T((x)) = ((x + 1)).