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