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"12. Show that \\( f: \\mathbf { N } \\rightarrow \\mathbf { N } , \\) given by\n\\( f ( x ) = \\begin{array} { l } { x + 1 , \\text { if } x \\text { is odd, } } \\\\ { x - 1 , \\text { if } x \\text { is even } } \\end{array} \\)"

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