Find the horizontal and vertical asymptotes of the curve.

Question

y = (2x^2+x-4)/(x^2+x-90)

x = (sm value)

x =. (lrg value)

y=

Answer 1

vertical asymptotes are x = the values that make the denominator = 0

x^2 +x -90 = 0

(x-9)(x+10) =0

x = 9, -10

x = 9 (large value)

and

x=-10 (small value)

are the two vertical asymptotes

y=2 is the horizontal asymptote

it's the ratio of the coefficients of the numerator and denominator's x^2 terms: 2x^2/x^2 = 2