If the function f: R ⟶ R is defined by f(x) = |x|(x − sin x), then which of the following statement.

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This is the Solution of question from JEE Advanced 2020 Paper 1 question of mathematics.
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If the function f: R ⟶ 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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