Problem-41
Determine whether f:Z×Z→Z is onto if
a) f(m,n)=m2−16
b) f(m,n)=|m|−|n|.
c) f(m,n)=m+n+6.
d) f(m,n)=4m−n.
e) f(m,n)=m2−n2
Solution
a) f(m,n)=m2−16
not onto
b) f(m,n)=|m|−|n|.
onto
c) f(m,n)=m+n+6.
onto
d) f(m,n)=4m−n.
onto
e) f(m,n)=m2−n2
not onto