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Let $y=\left \lfloor x \right \rfloor$ where $\left \lfloor x \right \rfloor$ is greatest integer less than or equal to $x$. Then

  1. $y$ is continuous and many-one.
  2. $y$ is not differentiable and many-one.
  3. $y$ is not differentiable.
  4. $y$ is differentiable and many-one.
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