CLAMPED SPLINE MODEL PROBLEM x1 Suppose S(x) interpolates f(x) at xo = 0, x₁ = 1 and 2 = 2 by a clamped spline model given by S (x) = { $₁ (x), x = [0, 1) 82 (x), x = [1, 2] where $1 $₁ (x) = 1 + 2Ax + 2x² - 2x³ 82 S₂ (x) = 1+a (x − 1)+4 (x − 1)²+7 (x − 1)³ What is the value of S (x) when x = 0.5? Choose the best answer. a. 1/4 b. 5/4 c. 7/4 d. 27/4