Consider the following function. f(x) 22 x2 + 4 (a) Give the domain of the function. (b) Show all work to prove that: &x f'(x) = (x2 + 4)2 (c) Find intervals of increase and decrease, and local min/max values. (d) Show all work to prove that: 8(-312 +4) f"' (x) = (x2 +4)3 (e) Find intervals of concavity, and the x- values of any inflection points