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Let f : R → R be a function such that f ( x ) = 1 x 1 x 2 x 2 2    . Then

1. f ( x ) is many - one in ( –  , – 1)
2. f ( x ) is one - one in [1,  ) but not in ( –  ,  )
3. f ( x ) is many - one in (1,  )
4. f ( x ) is one - one in ( –  ,  )

Correct answer: f ( x ) is one - one in [1,  ) but not in ( –  ,  )

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