The ceiling function maps every real number to the smallest integer greater than or equal to that
Question: The ceiling function maps every real number to the smallest integer greater than or
equal to that number, \[f:x\to \left\lceil x \right\rceil \], where \[\left\lceil x \right\rceil \] is the smallest integer greater than or
equal to \[x\]. What is the range of the ceiling function? Is it one-to-one?
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