Describing behavior on each side of a vertical asymptote

[Jacobpm64]

Find the vertical asymptotes of the graph of F(x) = (3 - x) / (x^2 - 16)

ok if i factor the denominator.. i find the vertical asymptotes to be x = 4, x = -4.

The 2nd part of the problem asks:
Describe the behavior of f(x) to the left and right of each vertical asymptote.. I'm not sure what i need to write for this.

 

[Mindscrape]

It's asking for what happens as the function appraches the asymptotes from the left and the right, does it go to infinity - what?

You can use limits to find out.

 

[Jacobpm64]

ahh thanks.. so...

f(x) approaches +inf as it approaches x = -4 from the left...
f(x) approaches -inf as it approaches x = -4 from the right...
f(x) approaches +inf as it approaches x = 4 from the left...
f(x) approaches -inf as it approaches x = 4 from the right...

correct?

 

[Mindscrape]

Correct.