surjective func. prooving

[violet vortex]

prove ZxZ -> Z given by f(m,n) = m+n -3 is onto

[lapis pendant]

1. Wait patiently for a helper to come along.
2. Once someone helps you, say thank you and close the thread with:

+close

3. Feel free to nominate the person for helper of the week in #helper-nominations
4. Do not ping the mods, unless someone is breaking the rules.
5. If you're happy with the help you got here, and the server overall, you can contribute financially as well:

[worthy vapor]

surjective func huh

hmmm

you have to prove there exists some m and n for all integers

so

m + n - 3 = a
m + n = a + 3
as m, n, a and 3 are all integers
and every integer in Z can be represented by a + 3
hence proved
idk...

[violet vortex]

i thought like that but have no answer key, therefor needed to check it

thx for resonding