Question

Determine whether or not the function f:ZxZ->Z is onto, if f((m,n))=|n|. @Mathematics
The answer says it i snot onto but i dont get how!

Answer 1

Is f(n)=|n| surjective from the integers to the integers?

Answer 2

Ant other words will we get all the integers as outputs?

Answer 3

or you can graph it
look where the outputs are and aren't

Answer 4

there is a lot integers that do not get hit

Answer 5

what conclusion can you draw from this?

Answer 6

The answer to this question gives is that it is not onto. I wanna knwo the explanation that why is it not onto?

Answer 7

the question is just this much!

Answer 8

so i take it from that you have no idea what i'm talking about

Answer 9

no i didnt get what you are asking

Answer 10

for f:A->B
to be surgective all the numbers in B must get hit

Answer 11

surjective *

Answer 12

yes

Answer 13

we have a function that is defined from the integers to the integers by f(x)=|x|
but there is no way we can any of the negative integers as output
therefore it isn't surjective from the integers to the integers

Answer 14

it would be surjective from the integers to the positive integers

Answer 15

or even the nonnegative integers

Answer 16

none of those integers i just circled get hit in your function