Prove that the Greatest Integer Function \( f: \mathbf{R} \rightarr...

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Prove that the Greatest Integer Function \( f: \mathbf{R} \rightarrow \mathbf{R} \), given by \( f(x)=[x] \), is neither one-one nor onto, where \( [x] \) denotes the greatest integer less than or equal to \( x \)
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