If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

To log in and use all the features of Khan Academy, please enable JavaScript in your browser.

Main content

Course: Integrated math 3 > Unit 13

Lesson 3: Discontinuities of rational functions

© 2024 Khan AcademyTerms of use Privacy Policy Cookie Notice

Analyze vertical asymptotes of rational functions

Google Classroom

$g (x) = \frac{x^{2} - x}{x + 1}$ ‍

Describe the behavior of the function $g$ ‍ around its vertical asymptote at $x = - 1$ ‍.

(Choice A)
The graph of $g$ ‍ approaches $- \infty$ ‍ from the left and from right of the asymptote.
(Choice B)
The graph of $g$ ‍ approaches $- \infty$ ‍ from the left and $+ \infty$ ‍ from the right of the asymptote.
(Choice C)
The graph of $g$ ‍ approaches $+ \infty$ ‍ from the left and $- \infty$ ‍ from the right of the asymptote.
(Choice D)
The graph of $g$ ‍ approaches $+ \infty$ ‍ from the left and from right of the asymptote.

Related content

Video 7 minutes 6 seconds

Analyzing vertical asymptotes of rational functions