Use a graphing calculator to compare the graphs of the three functions , , and . How are the functions related? How are they alike and different?

Graph the functions using a graphing calculator.

Describe the equations and domains of the three pieces of the piecewise function .

Describe what the function represents for .

Determine the intersection point of the graphs of and , and describe what it represents.

Describe the meaning of the overlapping portions of the graphs of the function pair and as well as the function pair and .

Determine the solutions for the function pair and and the function pair and .

This applet is provided by Walch Education as supplemental material for the UCSS Secondary Math III program. Visit www.walch.com for more information on our resources.