1
   

Rational Functions

 
 
fdrhs
 
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.
  • Topic Stats
  • Top Replies
  • Link to this Topic
Type: Discussion • Score: 1 • Views: 483 • Replies: 2
No top replies

 
raprap
 
  1  
Reply Wed 20 Jul, 2005 05:48 am
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
0 Replies
 
fdrhs
 
  1  
Reply Wed 20 Jul, 2005 05:46 pm
good
I will apply your notes to my studies of rational functions.
0 Replies
 
 

Related Topics

Evolution 101 - Discussion by gungasnake
Typing Equations on a PC - Discussion by Brandon9000
The Future of Artificial Intelligence - Discussion by Brandon9000
The well known Mind vs Brain. - Discussion by crayon851
Scientists Offer Proof of 'Dark Matter' - Discussion by oralloy
Blue Saturn - Discussion by oralloy
Bald Eagle-DDT Myth Still Flying High - Discussion by gungasnake
DDT: A Weapon of Mass Survival - Discussion by gungasnake
 
  1. Forums
  2. » Rational Functions
Copyright © 2025 MadLab, LLC :: Terms of Service :: Privacy Policy :: Page generated in 0.05 seconds on 05/11/2025 at 11:28:24