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State True or False. There exists a function $$f$$ from the set of integers $$\mathbb{Z}$$ to the set of natural numbers $$\mathbb{N}$$ that is an onto function.
Correct Answer: True
Define $$f(n) = |n| + 1$$. For any natural number $$m$$, $$f(m - 1) = m$$, so every natural number is attained and $$f$$ is onto. The statement is True.
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