How to identify the function of a graph?

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I am trying to identify the function of a graph in order to create a dataset for it.

Dataset as in several x/y-values that will lead Excel/PowerPoint to create a graph looking just like the drawing:

enter image description here

Unfortunately I am not that good in maths, so I hope that some of you might have a hint in how to find out the function of a graph from a picture.

best regards!

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How to identify the function of a graph ?

By experience. In my experience, the graphic of the integrand of the $\Gamma$ function looks very similar

to what I see in your picture. So my advice would be to start plotting functions of the form $A\cdot\dfrac{x^n}{e^{ax}}$

and to modify the three parameters until you obtain something sufficiently close to what is there in

the picture.