by darksaber21 » Fri May 03, 2013 5:22 pm
It would only have a slant asymptote if the denominator is one degree less than the numerator. If the degrees differ any further, then there would be the potential for a polynomial asymptote, (quadratic if the denominator is two degree less than the nunerator, and vice-versa), but those types are not usually tested. All you would need to do is divide the equation out, and typically the equation left (if there is a remains a remainder of course) is the equation for the horizontal asymptote.
It is totally possible to have neither. Take the function [unparseable or potentially dangerous latex formula]. Because the equation simplifies, there is a hole at x=1, but not an asymptote.
Now I know the stakes, and I'm willing to show what I gots. I will see you all at state for the first and final time, so let's end the year with a bang! :)
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