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OpenStudy (anonymous):
3. Give an example of a function (a) f : Z → N that is both 1-1 and onto. (b) f : N → Z that is both 1-1 and onto Isn't impossible to do both? I mean if you draw a venn diagram, one can see that one set is bigger than the other ( therefore not allowing it to be "onto") and at the same time the inverse wouldn't allow a one - to - one relationship. Any help on what I'm doing wrong?
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