# What's this function?

1. Oct 9, 2012

### germangb

I have this function representation whch grows exponentially when it reaches X=0, but then it remains constant at some Y

does anybody know a function which looks like that?

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• ###### Sin título.png
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Last edited: Oct 9, 2012
2. Oct 9, 2012

### alberto7

As an example of $\mathcal C^\infty$ but not analytic? As a way to glue $\mathcal C^\infty$-ly? Such a function is usually explained in Differential Geometry books in a section title Partitions of Unity.

3. Oct 9, 2012

### Staff: Mentor

Looks like a logistic function to me. See http://en.wikipedia.org/wiki/Logistic_function.

4. Oct 9, 2012

### zmp3

Logistic Function.

5. Oct 9, 2012

6. Oct 9, 2012

### Integral

Staff Emeritus
7. Oct 10, 2012

Unit step response of a damped harmonic oscillator? (It seems to oscillate a bit at its high point)

8. Oct 11, 2012

### germangb

thank you all very much

9. Oct 12, 2012

### Peppino

Sigmoid:

$y = \frac{1}{1+e^{-x}}$