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Anni [7]
3 years ago
12

What two types of asymptotes can you find from a rational function?

Mathematics
1 answer:
emmainna [20.7K]3 years ago
7 0

Hello!


The two types of asymptotes you can find from a rational function are vertical and horizontal asymptotes.


Vertical asymptotes are determined by setting the denominator of a rational function to zero and then by solving for x.


Horizontal asymptotes are determined by:

1. If the degree of the numerator < degree of denominator, then the line, y = 0 is the horizontal asymptote.

2. If the degree of the numerator = degree of denominator, then y = leading coefficient of numerator / leading coefficient of denominator is the horizontal asymptote.

3. If degree of numerator > degree of denominator, then there is an oblique asymptote, but no horizontal asymptote.


Hopefully this makes sense! (I had to bring out my math notes, my handwriting is actually disgusting.)

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