Absolute Value: Inverse Relation
- A B Cron
The general form of the Absolute Value Function is: Manipulate the sliders to see their effects on the basic graph. To find the inverse relation, click on checkboxes to display points A, B, or C. The inverse points are found by switching the x- and y-values of the coodinates; for point A, one types I = ( y(A), x(A) ) into the input bar. Here this has been done for you. Select the points I, J, and K, the Locus of those points form the Inverse Relation.
Make a note of what effects each slider does to the basic equation (dotted). Complile the notes into a paragraph about these effects. This applet can be used by teachers in a demonstration mode in the classroom or teachers can have students load it on their own computers as a worksheet to be completed for a grade.