(a) Find an onto function from (mathbb{N}) to (mathbb{Z}). (b) Find a 1-1 function from (mathbb{Z}) to...

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(a) Find an onto function from \(\mathbb{N}\) to \(\mathbb{Z}\).

(b) Find a 1-1 function from \(\mathbb{Z}\) to \(\mathbb{N}\).

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