The function f : R

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 :

  1. neither injective nor surjective. 

  2. invertible

  3. injective but not surjective.

  4. surjective but not injective 


Correct Option: , 4

Solution:

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