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#1 2012-10-27 02:39:56

Berniard
Guest

Asymptotes

Is there a way to deduce asymptotes(horizontal,vertical,oblique) of a function without graphing the function?

#2 2012-10-27 02:52:32

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,421

Re: Asymptotes

hi Berniard,

Welcome to the forum!

Yes, there is.  Have you got a function for me to demonstrate on?

Post 7 on

http://www.mathisfunforum.com/viewtopic.php?id=15139

goes through all the steps for sketching a graph from its function.

Bob


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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#3 2012-10-27 04:29:27

Berniard
Guest

Re: Asymptotes

So,by checking where the graph tends to infinity I can know the asymptote?

#4 2012-10-27 07:45:17

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,421

Re: Asymptotes

hi Berniard,

That's about right.  When a denominator is zero, the value of y 'goes to infinity'.  Those are vertical asymptotes.

The others are found when you consider what happens when x tends to + or - infinity.

Bob


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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