Math Is Fun Forum

Berniard

Guest

Asymptotes

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

Bob

Administrator

Registered: 2010-06-20

Posts: 10,646

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

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

Berniard

Guest

Re: Asymptotes

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

Bob

Administrator

Registered: 2010-06-20

Posts: 10,646

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

---

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob