If f(x) is a polynomial of degree 4 such that f(0) = f(1) = f(2) = f(3) = 1 and f(4) = 2, then determine f(5).
The function is: f(x) = (1/24)x4 - (1/4)x3 + (11/24)x2 - (1/4)x + 1
From this function, you can determine f(5).
