Post on 07-Jan-2016
description
Slant Asymptotes
Consider a rational function whose denominator is of degree 1 or greater.
If the degree of the numerator is exactly one more then the degree of the denominator, the graph of the function has a slant (or oblique) asymptote
For example, the graph of 2
1
x xf x
x
has a slant asymptote.
To find the equation of a slant asymptote, use long division.
As increases or decreases without bound,
2the remainder term approaches 0,
1
so the graph of approaches the line 2.
x
x
f y x