Find the horizontal and vertical asymptotes of the curve.

Question

Find the horizontal and vertical asymptotes of the curve.

y = 6x2 + x − 9

x2 + x − 12

 

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

Answer 1

y = 6(x + 1/12 + 1/12√217)(x + 1/12 - 1/12√217)/((x+4)(x-3))

From the denominator, we see that the vertical asymptotes are x = -4 and x = 3

As both the numerator and denominator are second degree polynomials with leading coefficients of 6 and 1, the horizontal asymptote is y = 6/1 = 6.