If the function f : ℝ → ℝ is defined by f ( x ) = | x |( x − sin x ), then which of the…
Mathematics · JEE Advanced · NTA Exams — Sets, Relations and Functions
If the function f : ℝ → ℝ is defined by f(x) = |x|(x − sinx), then which of the following statements is TRUE?
- f is one-one, but NOT onto
- f is onto, but NOT one-one
- f is BOTH one-one and onto
- f is NEITHER one-one NOR onto
Answer
(D) f is NEITHER one-one NOR onto
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