🛠️ JEE➗ Maths

If the function \(f:R\to R\) is defined by \(f(\mathrm{x})=|x|(x-\sin x)\), then which of the following statements is TR…

Q1

If the function \(f:R\to R\) is defined by \(f(\mathrm{x})=|x|(x-\sin x)\), then which of the following statements is TRUE?

[JEE Advanced 2020]

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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