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Consider the following functions from ℤ × ℤ → ℤ. Which functions are onto? Justify your...

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 ) / 3⌋

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