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

Rational functions: zeros, asymptotes, and undefined points

Google Classroom

h (x) = \frac{x^{2} + 4 x ? 32}{x^{2} ? 8 x + 16}

At each of the following values of $x$ ?, select whether $h$ ? has a zero, a vertical asymptote, or a removable discontinuity.

	Zero	Vertical Asymptote	Removable Discontinuity
$x = ? 8$ ?
$x = 4$ ?

Related content

Video 6 minutes 46 seconds

Discontinuities of rational functions