Question

50 POINTS

10. Find the vertical asymptotes of the following function:
y=x+2
_______
x^2 +2x−8

Select the appropriate response:
A) horizontal asymptotes x = −4, 5
B) horizontal asymptotes x = −4, 4
C) vertical asymptotes x = −8, 4
D) vertical asymptotes x = −4, 2

Answer 1

Given:

`f(x)=(x+2)/(x^2+2x-8)`

find the denominator:

`x^2+2x-8`

`(x+4)(x-2) = y`

Find the x value:

`x-2=0\\x=2`

`x+4=0\\x=-4`

Your answer would be D:

x = -4, 2

Answer 2

D

Explanation:

Factor x^2+2x-8

(x-2)(x+4) = 0

Solve for x

x = 2

x = -4