The range of the function $f(x) = \frac{x}{{1 + \left| x \right|}},\,x \in R,$ is
The range of the function $f(x) = \frac{x}{{1 + \left| x \right|}},\,x \in R,$ is
- [AIEEE 2012]
- A
$R$
- B
$(-1,1)$
- C
$R-\{0\}$
- D
$[-1,1]$
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- [JEE MAIN 2021]