A) $f$ is one-one only B) $f$ is onto only C) $f$ is one-one and onto D) $f$ is neither one-one, nor onto

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Prove that the Greatest Integer Function \(f : R \to R\), 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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