Question

escribe the vertical asymptote(s) and hole(s) for the graph of y=x−6x2+5x+6

=

−
6

2
+
5

+
6
(1 point)
Responses

asymptotes: x = -2, -3 and hole: x = 6
asymptotes: x = -2, -3 and hole: x = 6

asymptotes: x = -2, -3 and no holes
asymptotes: x = -2, -3 and no holes

asymptotes: x = 2, -3 and hole: x = 6
asymptotes: x = 2, -3 and hole: x = 6

asymptotes: x = -2, 3 and no holes

Answer 1

something tells me the user meant
y=(x−6)/(x^2+5x+6)
which has
a zero at x=6
vertical asymptotes at x = -2, -3
horizontal asymptote at y=0
no holes

Answer 2

asymptotes: x = -2, 3 and no holes

Answer 3

Ah, I see. Thank you for pointing that out.

For the function y=(x−6)/(x^2+5x+6), the vertical asymptotes are x = -2 and x = -3, the zero is at x = 6, there is a horizontal asymptote at y = 0, and there are no holes.