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)

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

Examples: 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
Also in this site, an
Online Floor and Ceiling Functions Calculator.

More tutorials on functions.

Applications, Graphs, Domain and Range of Functions