How do you find all the asymptotes for f(x)=3x2+2x−5x−4?

1 Answer
Kiana S
Nov 28, 2017

V.A. x=4
H.A. non
S.A. 3x+14

Explanation:

. For a function to have vertical asymptote, the function needs to have undefined points also known as zeros of denominator.
x−4
x=4 <− vertical asymptote

. When the degree of denominator is greater than the degree of the numerator the function will have a horizontal asymptote.
in this function degree of numerator is 2 and the degree of denominator is 1
2>1 there fore this function does not have a horizontal asymptote

. to find slant asymptote, use polynomial long division
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Slant Asymptote is 3x+14

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