ochoanene822
25.09.2019 •
Mathematics
Which statement is true about the asymptotes of a rational function if the degree of the polynomial function in the numerator is 1 and the degree of the polynomial function in the denominator is 2?
a) it has two horizontal asymptotes
b) it has only one vertical asymptote
c) it has only one horizontal asymptote
d) it has no vertical asymptote
e) it has no horizontal asymptote
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Ответ:
answer:
it has only one horizontal asymptote
step-by-step explanation:
the asymptotes of a rational function if the degree of the polynomial function in the numerator is 1 and the degree of the polynomial function in the denominator is 2
if the degree of numerator is less than the degree of denominator then horizontal asymptote at y=0
here the degree of numerator is 1 and the degree of denominator is 2
1 < 2 so horizontal asymptote at y=0
it has only one horizontal asymptote
vertical asymptote depends on the degree of denominator
denominator degree is 2, so it has one or two vertical asymptotes
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