The data in Exercise 2 were generated using the following functions. Use the polynomials constructed in Exercise

Question:

The data in Exercise 2 were generated using the following functions. Use the polynomials constructed in Exercise 2 for the given value of x to approximate f (x), and calculate the absolute error.
a. f (x) = e2x ; approximate f (0.43).
b. f (x) = x4 − x3 + x2 − x + 1; approximate f (0).
c. f (x) = x2 cos x − 3x; approximate f (0.18).
d. f (x) = ln(ex + 2); approximate f (0.25).