Problem-41

 

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)=4mn.

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)=4mn.

onto

 

e) f(m,n)=m2−n2

not onto

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