Find the range of the function f(x)= x 1+x^ 2
Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions
Find the range of the function \(f(x)=\frac{x}{1+x^{2}}\)
- R ∈ \(\left[-\frac{1}{2}, 0\right]\)
- R ∈ \(\left[-\frac{1}{2}, \frac{1}{2}\right]\)
- R ∈ [1, 2]
- None of these
Answer
(B) R ∈ [- 1 2 , 1 2 ]
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