Ceiling Function

Definition of the Ceiling Function

The ceiling function ceiling(x) is defined as the function that outputs the smallest integer greater than or equal to x. Below is shown the graph of ceiling(x)
graph of the ceiling function

The domain of ceiling(x) is the set of all real numbers. The range of ceiling(x) is the set of all integers.


Evaluate ceiling(x) for various values of x.
ceiling(1.5) = 2
ceiling(0) = 0
ceiling(2) = 2
ceiling(- 3) = - 3
ceiling(- 1.5) = - 1

More References and Links

Online Floor and Ceiling Functions Calculator.
Applications, Graphs, Domain and Range of Functions