In this discussion, we will graph rational functions, with vertical and horizontal asymptotes.
We will work two examples, but before we begin, let us discuss how to find the vertical asymptotes of a function, analyze the behavior of the graph of a function around the vertical asymptotes, and find the horizontal asymptotes of a function.
Finding Vertical Asymptotes
Analyzing the Behavior of the Graph of f Around the Vertical Asymptotes
Finding Horizontal Asymptotes
Example 1
I wrote a blog post where I explain how to find left and right hand limits, or one-sided limits; so if you need a reminder, be sure to read my blog post.
How to Find One-Sided Limits
Example 2
