Which mathematical function looks like this?

Question

Symmetrical along the diagonal, but not approaching any asymptotes:

I’m voting to close this question because it is not a programming question. You would be better suited to ask this question on https://math.stackexchange.com. — andand, Jan 21 '21 at 20:51

score 2 · Answer 1 · 2021-01-21T21:27:01.550

2

In the positives, e^x-1 has this behavior, and in the negatives, by inversion, -ln(1-x).

At the origin, the first and second derivatives coincide.

edited Jan 21 '21 at 21:27

answered Jan 21 '21 at 21:20

1 Answers1