Range of the function f( x )= x 1+ x ^ 2 is
Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions
Range of the function \(f(\mathrm{x})=\frac{\mathrm{x}}{1+\mathrm{x}^{2}}\) is
- (–∞, ∞)
- [–1, 1]
- \(\left[-\frac{1}{2}, \frac{1}{2}\right]\)
- \([-\sqrt{2}, \sqrt{2}]\)
Answer
(C) [- 1 2 , 1 2 ]
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