I would like to find a continuous function that works (very approximately) the following way:
- The exact shape is not really important, it's more of a general fitting.
- I would really like it to be continuous if possible
- The more simple it is the better, even at the cost of some precision of what the fitting looks like
So far I've been playing around in desmos with different polynomial functions with no luck, I've also tried the google sheets tools that make interpolations but the actual functions I get only behave as expected in this very narrow portion where I provide data.

$$\exp\left(\frac{1}{x}\arctan\left(x\right)\right)+\frac{x^{2}}{50}$$ This function is adequate .