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JEE Math Practice 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

  1. A.invertible
  2. B.injective but not surjective.
  3. C.surjective but not injective
  4. D.neither injective nor surjective.

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