Problem 1.- (P15 in textbook) Consider the set N2: N x N, the set of all ordered pairs (a,b) where a and b are natural numbers. Consider a function f: N2 N given by f((a,b)) = a + b. a. LetA = {(a,b) E N2: 01,13 5 10}. Find f(A). b. Find f*1(3) and f'1({0,1,2,3}). 0. Give geometric descriptions of f '10:) and f '1({0,1, , n}) for any n 2 1. (1. Find |f'1(8)| and |f'1({0,1, ...,8})|