find the vertical, horizonal, and oblique asymptotes, if any , for the following rational function.

Question

Find the vertical, horizontal, and oblique asymtotes, if any , for the following rational function. T(x)=x^3/x^4-81 ?

12/2/2013 | KEVIN from Mesquite, TX

Answer 1

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Find the vertical, horizontal, and oblique asymtotes, if any , for the following rational function. T(x)=x^3/x^4-81 ?

12/2/2013 | KEVIN from Mesquite, TX

Answer 2

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Answer 3

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Vertical asymptotes:

Where denominator = 0.

x⁴ - 81 = (x²+9)(x²-9) = (x²+9)(x+3)(x-3)

Since x = 3 or x = -3, would make the denominator 0, those are vertical asymptotes.

Since the degree of the denominator is greater than the degree of the numerator, the

horizontal asymptote is y = 0, and there are no oblique/slant asymptotes.

12/2/2013 | Jason S.