I decided to write this one in light of the recent Pokemon Go’s difficulty slope beginning at level 20. Everybody has a fairly common conception of the ideal difficulty slope which, naturally, looks like y=e^x for 0<x<1 on a graph (pun totally intended). But as we all know, difficulty curves don’t always actually happen that way. As we don’t all know, there are sometimes good reasons, or at least understandable reasons, for this. Oh, and if the math joke didn’t tip you off, I’ve been watching way too much Numberphile lately, so things are going to get mathy.
All graphs were made in Desmos.
Back in the bad old days of the arcades, many games would begin easy,