IV. Special Graphs

B. Greatest Integer Function

The greatest integer function (also called a step function) is actually a piecewise defined function with a special definition. The function has the notation f(x)=||x|| or f(x)=[[x]] when it is written, but the TI-83 and the TI-84 designate this function by using f(x)=int(x) and is found in the MATH NUM menu. This function is the greatest integer less than or equal to x. So, f(1)=1 and f(1.4)=1. Since this is a piece-wise function you should use DOT mode.

Example: Graph the function f(x)=||x|| (the greatest integer function.) Make sure that you use DOT mode.

Access int( using
MATH - NUM 5
Enter the function.
Graph with ZDecimal.
Without DOT
(not good).

 

A. Piecewise
B. Greatest Integer
C. Inverse Trig
D. Derivative
E. Integral