I have this graph and I have to get the equation. I know there are no easy methods to do this so I am asking for your help. My question is are there any image/data analyzing tools to do this kind of stuff? If not how can I deduce the function from the graph give?
A "natural" candidate looks to be :
$$y=\exp(1/x)$$
(see image below). I was driven to it because of the "infinite order of tangency" that can be observed on the left hand side of the origin.
At first, I had been attracted by the horizontal and vertical asymptotes, and I wanted to "tailor" (with an "i", not a "y") a function to this initial guess.
See this answer to a similar question mentionning a software tool from Cornell Univ. : "Eureqa".