Slant asymptotes can only exist if the degree from the numerator is ONE BIGGER than the degree on the bottom. This means that if we have the function (x^2-1)/(x-2), we will have a slant asymptote because we have x^2 on the top and x on the bottom. The equation for the slant asymptote is y=mx+b. To find the equation for a slant asymptote, first we need to do long division. Once we have our answer, we will use everything but the remainder and that will be the equation for the slant asymptote.
Monday, September 24, 2012
Unit G Summary Question # 3; Slant Asymptotes
3. When does a graph have a slant asymptote? How do you find the equation of the slant asymptote?
Slant asymptotes can only exist if the degree from the numerator is ONE BIGGER than the degree on the bottom. This means that if we have the function (x^2-1)/(x-2), we will have a slant asymptote because we have x^2 on the top and x on the bottom. The equation for the slant asymptote is y=mx+b. To find the equation for a slant asymptote, first we need to do long division. Once we have our answer, we will use everything but the remainder and that will be the equation for the slant asymptote.
Slant asymptotes can only exist if the degree from the numerator is ONE BIGGER than the degree on the bottom. This means that if we have the function (x^2-1)/(x-2), we will have a slant asymptote because we have x^2 on the top and x on the bottom. The equation for the slant asymptote is y=mx+b. To find the equation for a slant asymptote, first we need to do long division. Once we have our answer, we will use everything but the remainder and that will be the equation for the slant asymptote.
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