I would like to find a function for the following graph:
I have drawn the graph myself, so not all subtle bends are to be replicated. I have noted the important points the graph should have in the picture (and even those could be tweaked a little bit if it makes things easier).
How would you go about this? I tried setting up a polynomial of degree four and solving a linear equation system, but the system did not have any solutions. I'd be happy for a solution, preferably with an explanation and maybe even the possibility for me to move the points a little bit.
Thank you! :)
this might work $$\frac{p(x)}{e^{x^2(x-.2)(x-.6)(x-1)}}$$ where $p(x)$ is your polynomial