How many numbers are in the range of the function \(f(x) = \lceil x \rceil - \lfloor x \rfloor\)?
The function is the ceiling function subtracted by its floor function
Only two numbers are in the range
When x is a non-integer.......the ceiling would be the next greatest integer and the floor would be one integer less
The difference is 1
When x is an integer......the ceiling and the floor are the same....so the difference is 0
So....the range is 0 and 1