Question

Use the graph of the function,

f(x)=x-1/x^2+5x+6

to identify the function's
vertical asymptotes.

a. x=-1, x= 6
b. x=1, x=-6
c. x=-2, x=-3
d. X= 2, x= 3

Answer 1

c. x = -2 or x = -3

Explanation:

The vertical asymptotes occur where the denominator = 0. That happens when the f(x) is undefined. So,

x^2 + 5x + 6 = 0

(x + 2)(x + 3) = 0

x = -2 or x = -3