Define four sets of integers let p {0, 1), let q {-11, 1, 5) , and let r and s be arbitrary nonempty subsets of z. define an even indicator function f f: zp by f(x) = (x + 1) mod 2 for x e z that is, f(x) 1 if x is even, and f(x) = 0 if x is odd. or neither? explain. a) is f: q p one-to-one, onto, both, or neither? explain. b) is f: (pn q) - p one-to-one, onto, both, c) suppose f: r- p is onto. what conditions are necessarily true about the set r? d) suppose f: s b is one-to-one. what can you say about s? what conditions are necessarily true about the set s? p is a one-to-one correspondence, e) define a set t so that f: t l-1