You can use your graphing calculator to graph socalled “piecewisedefined” functions, such as:
Using the key, you enter the two “pieces,” one as Y1 and the other as Y2. When you are finished, they will look like this:
Y1 = 2X2/(X<2)
Y2 = X^28/(X>2)
Then simply select the desired inequality. If you do all this correctly, the screen should now look like this:
Enter the second function in a similar manner. The screen should now look like this:
Pressing the key yields the following result:
“DOUBLE” INEQUALITIES
With one addition, the same technique can be used to graph a function (or a piece of a function) whose domain is defined by a socalled double inequality, such as:
The first thing that must be done is to split the double inequality into two separate inequalities joined by a logical and:
Select the appropriate logical operator (in this case and) and proceed as before. The screen and the resulting graph should look like those shown below:
Using the or operator, you can also graph functions such as:
Using the same techniques as above, the screen and the resulting graph should look like those shown below:
