Find in P_4 the polynomial p(x) that interpolates f(x) = |x| as follows: p(-2) = f(-2), p'(-2) = f'(-2), p(0) = f(0), p(2) = f(2), and p'(2) = f'(2). Compare your results with those of Example 5.12 to see that this polynomial is generally better than the interpolating polynomial but not as good as the cubic spline.