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=X2, [-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=
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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.