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September 1, 2014

September 1, 2014

Posted by **Mae** on Sunday, October 5, 2008 at 8:31pm.

Can someone explain this thoroughly ? I don't understand. thanks in advance.

- Math- Rational Functions -
**Reiny**, Sunday, October 5, 2008 at 8:55pmthe culprit for asymptotes and holes is the denominator.

If for some value of the variable, then denominator is zero, but the numerator is NOT zero, you will have an asymptote.

If for some value of the variable, then denominator is zero, but the numerator is ALSO zero, you will have a hole

e.g. y = (x-2)/(x^2 - 4)

notice this reduces to y = 1/(x+2)

so if x = 2 in the original we get 0/0, so there is a hole at (2,1/4)

if x = -2 we get -4/0 in the original, so x = -2 is an asymptote

- Math- Rational Functions -
**Mae**, Monday, October 6, 2008 at 12:24amhow would we know if it has both holes and asymptotes?

- Math- Rational Functions -
**Enlia**, Monday, October 15, 2012 at 12:30pmWhat is the domain and range of 2x^2-18/x^2+3x-10

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