Question

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

1. $f\left(m,n\right)=m+n$
2. $f\left(m,n\right)=m^2+n$
   
3. $f\left(m,n\right)=m$
   
4. $f\left(m,n\right)=\left|n\right|$
   
5. role="math" localid="1668412772778" $f\left(m,n\right)=m-n$
   

Short answer

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

Step-by-step solution

Step: 1

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