Use this worksheet to find a piece of a function over a given interval.
1) On the toolbar, find the Function Inspector under the 3rd button from the right.
2) Click on the Function Inspector and then click on the graph of the function. (You can move the Function Inspector over to the side.)
3) Notice the piece that is shown in red. It represents f(x) = x, if x is greater than or equal to -1 and less than or equal to 1.
4) You can use the bottom of the Function Inspector to change the interval.
5) Use the insert box beside g(x) to change the function being shown.

6) Use the insert box beside g(x) to change the function. Enter x^3.
Look at the piece shown in red. What are its endpoints?
Use the Function Inspector to change the interval to [-3, 2]. (You can zoom in or out using the 1st button on the right.)
How has the piece in red changed? What are the endpoints now?
7) Use the insert box beside g(x) to change the function. Enter sqrt(x).
There is no piece of the function in red. Why not?
Use the Function Inspector to change the interval to [0,2]. Why does the piece in red show now? What are the endpoints?
8) Use the insert box beside g(x) to change the function. Enter 1/x.
Use the Function Inspector to change the interval to [-2, 2].
Can you determine the endpoints?
9) Use the insert box beside g(x) to change the function. Enter abs(x).
Determine the endpoints of the piece in red.