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28 July, 16:54

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

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  1. 28 July, 20:40
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    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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