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Determine whether $f: Z \times Z  \rightarrow Z$ is onto if

  1. $f(m,n) = 2m-n.$
  2. $f(m,n) = m^2-n^2.$
  3. $f(m,n) = m+n+1.$
  4. $f(m,n) = |m|-|n|.$
  5. $f(m,n) = m^2-4.$
in Set Theory & Algebra
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