Offline paper
Mathematics · 2017
JEE Main 2017 · 2017-04-02 Offline · Q61
The function f: R →[-1/2, 1/2] defined as f(x)=x/(1+x^2), is:
The function $\displaystyle f: \mathbf{R} \rightarrow\left[-\frac{1}{2}, \frac{1}{2}\right]$ defined as $\displaystyle f(x)=\frac{x}{1+x^2}$, is :
Official answer
(2)
surjective but not injective.
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JEE Main 2017 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.