Let f : R ® R be defined by ( ) 2 , 1 x f x x = + x R Î . Then the range of f is :

Question:

Let $f: R \rightarrow R$ be defined by $f(x)=\frac{x}{1+x^{2}}, x \in R$. Then the range of $f$ is :

  1. $\left[-\frac{1}{2}, \frac{1}{2}\right]$

  2. $R-[-1,1]$

  3. $R-\left[-\frac{1}{2}, \frac{1}{2}\right]$

  4. $(-1,1)-\{0\}$

Correct Option: 1

JEE Main Previous Year 1 Question of JEE Main from Mathematics Sets, Relations and Functions chapter.
JEE Main Previous Year Jan. 11, 2019 (I)

Solution:

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