Answer
. Determine whether f : Z × Z → Z is onto if
a) f (m, n) = $2m$ − n.
b) f (m, n) = $m^2$− $n^2$.
c) f (m, n) = m + n + 1.
d) f (m, n) = |m|−|n|.
e) f (m, n) = $m^2$ − 4.
Work Step by Step
a) every integer belong to Z
so f is onto
b)You cannot write 2 as the difference of perfect square
c)Every integer is belong to Z
so f is Onto
d) The function is onto
e)Not onto
