[Steps Shown] The ceiling function maps every real number to the smallest integer greater than or equal to that number, f:x→ ⌈ x ⌉ , where


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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