**Piecewise-Defined Functions**

A frequently asked question is, how do I enter and graph a piecewise defined
function? For example, suppose the function *f* is defined as follows:

To enter *f*, first press **
** to access the MAIN MENU icons. Then press **
** to access the GRPH-TBL screen. The Graph Func screen is displayed. Enter
the function as follows:

Y1=X^{2}, [-10,0]Y2=X, [0,1]Y3=2, [1,10]

Instead of the beginning and ending numbers of -10 and 10, you may use any number to the left (right) of the specified Xmin (Xmax) in the viewing window.

In general, enter each branch of the function on a different Y= line followed by a comma. After the comma, enter the interval on which the branch is defined. Here are the Casio keystrokes for entering the above function.

**Y1=****
****
**

**Y2=**** ****
**** ** **
** **
** ** ** **
** ** ** **
** ** ** **
**

**Y3=**** **
** ** **
** ** ** **
** **
** ** ** **
** ** ** **
** **
**

Press
** **
to obtain the graph. If needed, adjust the window. The graph at right uses the
settings Xmin:-3, max:3, scale:1 and Ymin:-2, max:5. scale:1. For convenience,
press ** CTRL****
**to toggle on and off the graph menu at the bottom of the screen.