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Course: Precalculus > Unit 4

Lesson 3: Discontinuities of rational functions

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Rational functions: zeros, asymptotes, and undefined points

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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
$x = - 8$ ‍
$x = 4$ ‍

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Video 6 minutes 46 seconds

Discontinuities of rational functions