Question 2 (5 points) Given S : P3 (R) - P2(R) defined by S(a + bx + cx2 + dx3) = cx+ 3ax2 answer the following questions. Show all your work. it is not sufficient to simply write down the answer without calculations or reasons. a) Find basis for R(S). b) Find a basis for N(S). c) Determine whether S is one-to-one, onto, or both, or neither. You must give reasons why