Thread: Proving a function is one-to-one/onto

I have a function:



The domain for this is . The range is . How can I prove if it is one-to-one, onto, or both?

Originally Posted by Projectt

I have a function:

The domain for this is . The range is . How can I prove if it is one-to-one, onto, or both?

It is clearly not one-to-one: .
Is it onto? If then is it possible that ?

Ohh, I thought Z was some arbitrary set, not the set of all integers. Thanks.