mathleaks.com mathleaks.com Start chapters home Start History history History expand_more
{{ item.displayTitle }}
navigate_next
No history yet!
Progress & Statistics equalizer Progress expand_more
Student
navigate_next
Teacher
navigate_next
Expand menu menu_open Minimize
{{ filterOption.label }}
{{ item.displayTitle }}
{{ item.subject.displayTitle }}
arrow_forward
No results
{{ searchError }}
search
menu_open home
{{ courseTrack.displayTitle }}
{{ statistics.percent }}% Sign in to view progress
{{ printedBook.courseTrack.name }} {{ printedBook.name }}
search Use offline Tools apps
Login account_circle menu_open

Graphing Rational Functions

Graphing Rational Functions 1.5 - Solution

arrow_back Return to Graphing Rational Functions

Recall that rational functions of the form can be called simple rational functions. In this form, is the vertical asymptote and is the horizontal asymptote. With this in mind, let's begin by determining the asymptotes of the given function. The vertical asymptote is and the horizontal asymptote is To graph the function, we will first graph these asymptotes on the coordinate plane.

Next, we will make a table of values. To do so, we will consider values both to the left and to the right of the vertical asymptote.

Finally, we can plot the points on the same coordinate plane and connect them with smooth curves.