## Graphing general rational functions:

Now, when graphing general rational functions, you need to memorize the following rules:

Now don't panic, it may look like rocket science or plans for some kind of time machine, but it's actually quite simple. Using the example f(x) = ax^m/bx^n as an example, if m > n the graph of f(x) will not have a horizontal asymptote, if m = n then the line y = a/b is the horizontal asymptote for the graph of f(x), and, lastly, if m < n then the line y = 0 is the horizontal asymptote for the graph of f(x).