Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

I'm looking for the rough "parent function" of the following graph.

The graph has a vertical asymptote and a horizontal asymptote. It is most similar to f(x) = ln(x), but more "compressed." Anyone know a rough function for this equation I'm trying to describe?

http://i.stack.imgur.com/cBbZE.png

share|improve this question
    
Something like $y= 1- e^{-ax}$, $a>0$. –  David Mitra Feb 16 '13 at 16:05
    
That's very close to what I'm looking for. Does the horizontal asymptote approach 1? edit: I see you put in an extra variable a, which I assume controls the value of lim -> inf f(x). –  user61195 Feb 16 '13 at 16:08
    
Yes. It does not have a vertical asymptote, though. But, by taking $a$ large, you can make the portion of the graph in the first quadrant near the $y$-axis as close to the $y$-axis as you wish. –  David Mitra Feb 16 '13 at 16:09
    
EDIT: That function works. Thanks David. –  user61195 Feb 16 '13 at 16:10
    
If you want both vertical and horizontal asymptotes, you can try $1-a/x$. –  Rahul Feb 16 '13 at 16:38

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.