3. consider the transformation, t: p1 p2 defined by tax +b) = ax^2 + ax +a (a) show that t is a linear transformation. (b) find the image of 2.0 +1. (c) find another element of p, that has the same image. (d) is t a one-to-one transformation? why or why not? (e) find ker(t) and determine the basis for ker(t). what is the dimension of kernel(t)? (f) find range(t) and determine a basis for range(t). what is the dimension of range(t)?