For each rational function given below:

1. Enter the equation into your calculator for y1.

2. Find a good viewing window that shows both local and global behavior. Try ZoomStd first.

3. Use the graph to fill in the chart below.

4. When the chart is complete, look for generalizations you can make about the graphs of rational functions.

Answer the questions that follow the chart.

Observe patterns in the table above. From the equation of the function alone (without graphing or using a calculator),

a) How can the domain of a rational function be found?

b) How can vertical asymptote(s) or hole(s) be found?

c) How can any possible x-intercepts and a possible y-intercept be found?

d) How can a possible horizontal asymptote be found?

Subject | Mathematics |

Due By (Pacific Time) | 09/28/2013 08:00 pm |

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