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

Question

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

$R - \left[ { - {1 \over 2},{1 \over 2}} \right]$

($-$ 1, 1) $-$ {0}

R $-$ [$-$1, 1]

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