Range of the function f( x )= x 1+ x ^ 2 is

Mathematics · JEE Main · NTA ExamsSets, Relations and Functions

Range of the function \(f(\mathrm{x})=\frac{\mathrm{x}}{1+\mathrm{x}^{2}}\) is
  1. (–, )
  2. [–1, 1]
  3. \(\left[-\frac{1}{2}, \frac{1}{2}\right]\)
  4. \([-\sqrt{2}, \sqrt{2}]\)

Answer

(C) [- 1 2 , 1 2 ]

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