Math- Rational Functions

8 terms by LittleAviatior

Create a new folder

Advertisement Upgrade to remove ads

Functions with Fractions

How to find vertical asymptotes

Look for the values which make the function undefined. Presented as 'X='

How to find horizontal asymptotes

When the degree of the denominator is D and the degree of the numerator is N, if..
N = D, then Y=A/B
N < D, then Y=O
N > D, then there is no horizontal asymptote

How to find x-intercept

Solve for whichever values make the numerator equal to zero. Presented as a ' (X,0) '

How to find y-intercept

Solve the equation when all X equal zero. Presented as a ' (0,Y) '

How to find domain

All values except those which make the denominator equal zero.

How to find range

All values except those lying on horizontal asymptotes.

How to find a hole

A number which is a factor in both the numerator and the denominator.

How to find a slant asymptote

If the numerator's degree is one higher than the denominator's (ex: 2x⁴ / 19x³+2 ) then divide out the problem using long division. The answer, sans remainder, is the asymptote.

Please allow access to your computer’s microphone to use Voice Recording.

Having trouble? Click here for help.

We can’t access your microphone!

Click the icon above to update your browser permissions above and try again

Example:

Reload the page to try again!

Reload

Press Cmd-0 to reset your zoom

Press Ctrl-0 to reset your zoom

It looks like your browser might be zoomed in or out. Your browser needs to be zoomed to a normal size to record audio.

Please upgrade Flash or install Chrome
to use Voice Recording.

For more help, see our troubleshooting page.

Your microphone is muted

For help fixing this issue, see this FAQ.

Star this term

You can study starred terms together

NEW! Voice Recording

Create Set