To enter a piecewise function in the TI-84 you need to use Boolean Notation in your equation.

Two Piece Function

Entering a 2 piece function:

 

Press Y= and select a slot for the equation and type

Set the mode to Dot Mode so the two pieces are not connected. 
Graph in a zoom 4. Decimal Window

Three Piece Function

Suppose you want to enter a triple piecewise function such as:

You will need to enter the following in one of your function slots:

When you enter this equation and then graph it in a standard window you will see:

Sometimes you will want to put you graph in dot mode so you don't view the vertical segments connecting the various parts of the equation together.  This was not necessary in this example since the pieces were all connected.

 

 

rev.08/08/2011

Rahn © 2008