Since (x − 2) cancelled out, x = 2 is the location of a hole.
Now simplify. And notice what was cancelled out.
The y-value of the hole can be found by evaluating the simplified function at
Now find the end behavior. You can long divide or use an approach statement:
Last but not least, investigate what is happening in the middle, by exploring the holes and vertical asymptotes. Use the simplified equation:
Use the eTool below to view the steps for graphing the first equation.
Click the link at right for the full version of the eTool: Calc 1-90 HW eTool