please don't give a wrong answer if you Are not sure.

Discrete mathematics

2. Determine whether each function is one-to-one, onto, or both. The domain of each function is Z Z. The codomain of each function is Z. (4 points each)

(a) f (m, n) = m n

(b) f (m, n) = m2 + n2

3. Determine whether each relation defined on the set of positive integers is reflexive, symmetric, antisymmetric, transitive, and/or a partial order. (5 points each)

(a) (x, y) R if x = y2

(b) (x, y) R if x y = 2