Reply
Wed 20 Jul, 2005 05:04 am
Hello.
I would like to know the steps, in order, for finding vertical, horizontal and oblique asymptotes of rational functions.
For example:
How do I find the three different types of asymptotes mentioned above for
f(x) = 2(x - 1)/x + 3)
I simply want the steps not the answer.
There's a parenthesis missing
I'll assume the function is
f(x) = 2(x - 1)/(x + 3)
Vertical asymptotes are found by finding where the function isn't defined. In this case it is where the denominator goes to zero. On either side of this asymptote check to see the direction of the function (+/- infinity).
To find the horizontal asymptotes see what the function does as x goes toward +/- infinity.
Oblique asymptotes, in this case, aren't applicable.
Rap
good
I will apply your notes to my studies of rational functions.