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How do you find the vertical asymptote of a rational function?

Answer 1

Please see below.

Step 1, Find the zeros of the denominator.

Step 2 Test to see whether any of the zeros pf the denominator are also zeros of the numerator. For any zero of both, we have a common factor. Reduce the fraction and check the remaining zeros of the new denominator.

Step 3. For each remaining zero of the denominator, ther ts a vertical; asymptote at #x = # the zero.

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Answer 2

Luke Alvarez

To find the vertical asymptote of a rational function, follow these steps:

Simplify the rational function if necessary.
Determine the values of x that make the denominator of the rational function equal to zero.
These values of x will be the vertical asymptotes of the function.

That's it! The values of x that make the denominator zero are the vertical asymptotes of the rational function.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.