Question

If the greatest integer function is called the floor function because it rounds any number down to the nearest integer, what would you presume about the ceiling function?

Answer 1

Answer with explanation:

• The greatest integer function which is also known as a floor function rounds any number down to the nearest integer.

for example--

         If -2  ≤x <-1 then value of function is -2

        If   -1 ≤x < 0 then value of function is -1

        If   0 ≤x < 1 then value of function is 0

        If   1 ≤x < 2 then value of function is 1

and so on.

• Similarly the least integer function which is also known as a ceiling function rounds any number up to the nearest integer.

for example--

         If -2  < x ≤ -1 then value of function is -1

        If   -1 < x ≤ 0 then value of function is 0

        If   0 < x ≤ 1 then value of function is 1

        If   1 < x ≤ 2 then value of function is 2

and so on.

Answer 2

Ceiling Function is the least integer that is greater than or equal to x.