1. Home
  2. "rational"ity
  3. Astounding analysis
  4. Slant asymptotes

3.2 Slant asymptotes

<< Chapter < Page
  "rational"ity   Page 1 / 1
Chapter >> Page >
Finding slant asymptotes.

Just like vertical and horizontal asymptotes, slant asymptotes are lines the graph approaches. They are also called oblique asymptotes .

A graph has a slant asymptote if the degree of the numerator is bigger than the degree of the denominator (there is no horizontal asymptote).

To find slant asymptotes, divide the numerator by the denominator and keep only the quotient (the answer, throw away the remainder). Don't forget that these are still lines, so they are written as y =

To divide, you either have to use long division or synthetic division (if possible).

PRACTICE - Find the Slant Asymptotes:

y 3 x 3 x 2 1

y 3 x

y 2 x 2 x 1

y 2 x 2

y x 2 9 x 2 x 4

y x 13

y x 3 27 x 2 3

y x

y 2 x 3 7 x 2 4 x 3 x 1

y 2 x 3

y x 2 5 x 8 x 3

y x 2

y 2 x 2 x x 1

y 2 x 1

y 2 x x 11 x 4

y 2 x 30

y x 4 x 1 3

y x 3

y x 3 x 3 x 2 x 2

y x 1

<< Chapter < Page Page > Chapter >>

Read also:

Get Jobilize Job Search Mobile App in your pocket Now!

Get it on Google Play Download on the App Store Now




Source:  OpenStax, "rational"ity. OpenStax CNX. May 03, 2006 Download for free at http://cnx.org/content/col10350/1.2
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the '"rational"ity' conversation and receive update notifications?

Ask