JEE Math Practice Question
If the function $f: \mathbb{R} \rightarrow \mathbb{R}$ is defined by $f(x)=|x|(x-\sin x)$, 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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