The function $f:R \to \left[ { - {1 \over 2},{1 \over 2}} \right]$ defined as $f\left( x \right) = {x \over {1 + {x^2}}}$, is

Question

The function $f:R \to \left[ { - {1 \over 2},{1 \over 2}} \right]$ defined as

$f\left( x \right) = {x \over {1 + {x^2}}}$, is

invertible

injective but not surjective.

surjective but not injective

neither injective nor surjective.

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