Question

y= x+4/ x^2-1
I need to find any holes or any vertical or slant asymptotes of the function. HELP!

Answer 1

Okay, well what do you know about asymptotes, and holes?

Answer 2

yes kind of

Answer 3

okay, so how do we find vertical asymptotes?

Answer 4

Vertical asymptotes, occur at the x-value that makes the denominator 0. What value makes denominator 0?

Answer 5

or values in this case

Answer 6

The holes, occur whenever a term in the orginal function divides out. In this case nothing divides out so there are no holes

Answer 7

Slant asymptotes occur when the degree of the numerator is one more than that of the denominator, that is not the case with this function, so no slant asymptote

Answer 8

also, since the denominator has a higher denominator than numerator, there is a horizontal asymptote at y=0

Answer 9

Now, if you havent got it yet, vertical asymptotes occur at x=-1 and x=1

Answer 10

Hope this help