Compare Absolute Value and Piecewise Functions Guidance for Casio ClassPad

In the same window, graph both of the following functions.

$f (x) = {\begin{cases} - 2 (x - 3), & 0 \leq x \leq 3 \\ 2 (x - 3), & 3 < x \leq 6 \end{cases}$
$f (x) = | 2 (x - 3) |$

Step 1

To compare the graphs of the two functions, click anywhere in ClassPad to bring up the ClassPad menu. Then select the graphing tool.

Step 2

Select the function tool to enter equations.

Step 3

Begin entering $y =$

Then click on Math, then 2.

Step 4

Select the piecewise bracket from the TOP row of the menu.

Fill in the piecewise function exactly as it is in the workbook. Pay careful attention to $<$ versus $\leq$ .

Step 5

Click execute.

Step 6

To compare the piecewise graph with the absolute value graph, click the function icon and enter the absolute value function using the $| |$ from the screen keypad.

Both $y = | 2 (x - 3) |$ and $y = | - 2 (x - 3) |$ will result in the same graph.

Step 7

To compare graphs, click on the colored bar on the left to show or hide the graph of the related equation.