Determine whether f : Z × Z → Z is onto if f(m,n)= m-n

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The mapping f : Z × Z → Z , where f(m,n)= m-n

is a surjective function or onto function because for $\forall(z\in Z)$ the pair $(z,1)\in dom(f)=Z \times Z$ and $f(z,1)=z\cdot 1=z$ . So im(f)=Z.

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Question ID: mtid-5-stid-8-sqid-502-qpid-389