Example 4

Use a graphing calculator to compare the graphs of the three functions , , and . How are the functions related? How are they alike and different?
  1. Graph the functions using a graphing calculator.
  2. Describe the equations and domains of the three pieces of the piecewise function .
  3. Describe what the function represents for .
  4. Determine the intersection point of the graphs of and , and describe what it represents.
  5. Describe the meaning of the overlapping portions of the graphs of the function pair and as well as the function pair and .
  6. Determine the solutions for the function pair and and the function pair and .
This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit www.walch.com for more information.