Floor Function

The floor function floor(x) is defined as the function that gives the highest integer less than or equal to x. The graph of floor(x) is shown below.

graph of the floor function

The domain of floor(x) is the set of all real numbers, while the range of floor(x) is the set of all integers.


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

More References and Links

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