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Let $f : \mathbb{R} \rightarrow \mathbb{R}$ be a continuous function. Which one of the following sets cannot be the image of $(0, 1]$ under $f$?

  1. {0}
  2. (0, 1)
  3. [0, 1)
  4. [0, 1]
in Set Theory & Algebra 85 views

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