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How many numbers are in the range of the function \(f(x) = \lceil x \rceil - \lfloor x \rfloor\)?

 Nov 17, 2020
 #1
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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

 

 

 

cool cool cool

 Nov 17, 2020
edited by CPhill  Nov 17, 2020

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