Suppose square(X) takes an integer value as its argument, and gives its square...

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Suppose square(X) takes an integer value as its argument, and gives its square. Which of the following is true about square(X)?

It is a function with domain \mathbb{N}\cup\{0\} and codomain \mathbb{Z}.

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It is a predicate with domain \mathbb{Z} and codomain \mathbb{N}\cup\{0\}.

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It is a predicate with domain \mathbb{N}\cup\{0\} and codomain \mathbb{Z}.

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It is a function with domain \mathbb{Z} and codomain \mathbb{N}\cup\{0\}.

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