Saddam Hussein function.

The initial part is a flipped exponential function, which is characteristic of a finite population that wants to vote yes, and each day a fixed part of them finds out about the petition. This makes sense, because the more people there are yet to find out, the more people vote each day. Sadly, it also shows that the number of people who care was too small for the petition to pass (the horizontal value the graph converges on). HOWEVER, afterwards the graph started rising again which strongly suggests more and more new (previously consciously uncaring) people are being convinced to vote, which means there is still hope.

Log-arrhythmic