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**1. Homework Statement**

N is the set of natural numbers, Z is the set of all integers

Construct a function a : N -> Z that is both one to one and onto.

Construct a function b : Z -> N that is one to one but not onto.

**3. The Attempt at a Solution**

The only attempts have been very wrong - not even sure where to start since in both cases it doesn't seem that a solution is possible.