Question 1. Suppose that f is a function whose domain is R and satisfies the following properties: . f(x) =0 when x 1 . f(0) = 1. y 1. Define the function f on the interval [-1, 1] such that f is everywhere continuous. 2. Suppose that f must have the form of a quartic polynomial on [-1, 1]; that is, f(x) = C424 +C323 +C2x2 +cix + co. Find the values of co, ..., c4 such that f is everywhere differentiable