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•  » describing behavior on each side of a vertical asymptote

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## Topic review (newest first)

2006-01-03 14:11:19

whoops!...sorry, same time....

2006-01-03 14:09:34

I would guess that you need to say whether your function is going to positive or negative infinity on either side of the asymptotes...

Ricky
2006-01-03 14:08:23

When there is a vertical asymptote, either it approaches that asymptote going to infinity or negative infinity.  So pick a point just to the left of the asymptote, and see if it is positive or negative.  Then do it for the right (although you'll quickly learn you don't have to do it for both.  You'll see what I mean).

So find f(3.999), f(4.001), f(-3.999), and f(-4.001).

Jacobpm
2006-01-03 10:59:56

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.