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JEE Math Practice Question

Let f : R $$ \to $$ R be defined by f(x) = $${x \over {1 + {x^2}}},x \in R$$. Then the range of f is :

  1. A.$$\left[ { - {1 \over 2},{1 \over 2}} \right]$$
  2. B.$$R - \left[ { - {1 \over 2},{1 \over 2}} \right]$$
  3. C.($$-$$ 1, 1) $$-$$ {0}
  4. D.R $$-$$ [$$-$$1, 1]

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