Consider the following functions from ℤ × ℤ → ℤ. Which functions are onto? Justify your answer by proving the function is onto or providing a counterexample and explaining why it is a counterexample.
(a) f(x,y) = xy + 3
(b) f(x,y) = |xy| + 10
(c) f(x,y) = ⌊(x+y)/5⌋
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