Let f (x) = ex, for 0 x 2. a. Approximate f (0.25) using linear

Question:

Let f (x) = ex, for 0 ≤ x ≤ 2.
a. Approximate f (0.25) using linear interpolation with x0 = 0 and x1 = 0.5.
b. Approximate f (0.75) using linear interpolation with x0 = 0.5 and x1 = 1.
c. Approximate f (0.25) and f (0.75) by using the second interpolating polynomial with x0 = 0, x1 = 1, and x2 = 2
d. Which approximations are better and why?