Compare Absolute Value and Piecewise Functions Guidance for Casio fx-9750GIII

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, select MENU, then select GRAPH or press 5.

Enter each piecewise equation, followed by EXE.

Use a comma to separate the parameters from the equation and use brackets (Shift + -) to enter the parameters.

To graph the absolute value function, click OPTN, then F6 until you can click on NUM then Abs.

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

Click EXE, then DRAW F6.

There is only one absolute value equation on the graph because the equations entered are coincident for $0 \leq x \leq 6$ .

To see graphs of the individual equations, click EXIT, then scroll and select SEL equations to show or hide them.

View and compare graphs.