Simplify the following functions. Without a calculator, sketch each graph, showing roots, holes and asymptotes. Then, state the domain in parts (a) and (b) using interval notation and the domain in parts (c) and (d) using set notation. .
Now simplify. And notice what was cancelled out.
So the hole has a coordinate point of
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