**Greatest Integer Function**

The greatest integer function, denoted by int, is defined as follows:

int(x) = greatest integer less than or equal tox

The greatest integer function is found in the __catalog__.

To obtain a graph of the greatest integer function, press **MENU
1** to access the RUN-MAT screen. Press **OPTN**, press **F6** until SKTCH
is the F2-option. Press **F2** to select SKTCH to select the sketch menu, press
**4** to select 4:GRAPH, then press 1: to select 1:Y=. Graph Y= is pasted into
the home screen. Enter Y = int(x) as follows:

pressCTRL CAT/CALpressF6to see I in the alphabet menu

pressF5to select Ipress6to select 6: Intpress( X ) EXE

One then obtains the graph shown at the right. In this graph, the steps of the int function are inappropriately connected.

To obtain a correct graph, we must change the graph style. Press **ESC**
to return to the home screen. Press **CTRL SETUP**
and
change the Draw Type to Plot, then press **EXE**.
Press option and repeat the sketch procedure and you get the graph shown at right.

For a better view, press **F2** to access the Zoom menu, then press **7**
to select **7: Square**. From the zoom square presentation, press **F2**
to access the Zoom menu again, then press **3** to select **3:In** to zoom
in. If needed, use the thumb pad arrow keys to place the cursor at the origin,
then press **EXE** to obtain the graph displayed
at the right. Note that the step from 0 £ *x* < 1 is occluded by
the *x*-axis. Press **CTRL**** 0** to toggle on and off the graph menu
at the bottom of the screen.