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.

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

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

More tutorials on functions.

Applications, Graphs, Domain and Range of Functions