# Describing behavior on each side of a vertical asymptote (1 Viewer)

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#### 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. ### The Physics Forums Way

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