If the function \( f: R \rightarrow R \) is defined by \( f(\mathrm{x})=|x|(x-\sin x) \), then w...

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If the function \( f: R \rightarrow R \) is defined by \( f(\mathrm{x})=|x|(x-\sin x) \), then which of the following statements is TRUE?
(a) \( f \) is one-one, but not onto
(b) \( f \) is onto, but not one-one
(c) \( f \) is both one-one and onto
(d) \( f \) is neither one-one nor onto
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