Question

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

1. $f\left(m,n\right)=2m-n$
2. role="math" localid="1668412540074" $f\left(m,n\right)=m^2-n^2$
   
3. $f\left(m,n\right)=m+n+1$
   
4. $f\left(m,n\right)=\left|m\right|-\left|n\right|$
   
5. $f\left(m,n\right)=m^2-4$
   

Short answer

1. Onto
2. Not onto
3. Onto
4. onto
5. onto

Step-by-step solution

Step: 1

1. Onto
2. Not onto
3. Onto
4. onto
5. onto