General - Graphing the Greatest Integer Function

The Greatest Integer Function is denoted by y = [x].

For all real numbers, x, the greatest integer function returns the largest integer
less than or equal to x. In essence, it rounds down a real number to the nearest integer.

For example: [1] = 1 [1.5] = 1 [3.7] = 3 [4.3] = 4
Beware! [-2] = -2 [-1.6] = -2 [-2.1] = -3 [-5.5] = -6

Calculator Graph

intgraph

inty
The command "int" is found under MATH → NUM #5:int(

or find in the Catalog.

Actual Graph
step1

• If copying the graph from your calculator, be sure to indicate the open and closed circles on the ends of the line segments.

Also, look carefully at the scale locations of the segments if you are transferring the graph onto a sheet of graph paper.