If \( R \) denotes the set of all real numbers then the function \( \mathrm{f}: \mathrm{R} \righ...

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If \( R \) denotes the set of all real numbers then the function \( \mathrm{f}: \mathrm{R} \rightarrow \mathrm{R} \) defined \( \mathrm{f}(\mathrm{x})=[\mathrm{x}] \)
(1) One-one only
(2) Onto only
(3) Both one-one and onto
(4) Neither one-one nor onto
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