3. (7 marks) Determine whether there is a choice of coefficients {a, b, c, d} for which the following function is a cubic spline. S(x) = { (x + 1)³, ax3 + bx² + cx +d, (x-1)², -2≤ x ≤ -1 -1≤ x ≤1 1 ≤ x ≤ 2