Find the horizontal and vertical asymptotes of the curve.

y = x^2+5/9x^2−44x−5

x= (smaller x-value)
x= (larger x-value)
y=

1 answer

for the horizontal asymptote, as x gets large, only the highest powers matter. So, what is x^2/9x^2 ?

For vertical asymptotes, they can only occur where the denominator is zero.

9x^2-44x-5 = (9x+1)(x-5)
so, when is that zero?