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**Asymptotes**

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**Berniard****Guest**

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

**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,922

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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**Berniard****Guest**

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

**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,922

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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**Asymptotes**