Lesson: Graphs of Rational Functions Mathematics
In this lesson, we will learn how to graph rational functions whose denominators are linear, determine the types of their asymptotes, and describe their end behaviors.
Consider the graph of the function .
By looking at the graph and substituting a few successively larger values of into the function, what is the end behavior of the graph as increases along the positive -axis?
Similarly, what is the end behavior of the graph as decreases?
Finally, by interpreting the graph, what is happening to the function when the value of approaches zero?
Which of the following graphs represents ?
What function is represented in the figure below?