The function \( \mathrm{f}: \mathbb{R} \rightarrow\left[-\frac{1}{2...

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The function \( \mathrm{f}: \mathbb{R} \rightarrow\left[-\frac{1}{2}, \frac{1}{2}\right] \) defined as \( \mathrm{f}(\mathrm{x})=\frac{\mathrm{x}}{1+\mathrm{x}^{2}} \), is :
(1) neither injective nor surjective.
(2) invertible.
(3) injective but not surjective.
(4) surjective but not injective
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