Is a function: “many to one“. This is saying if you have multiple x-values that map to one y-value — say, (2,9), (3,9) and (6,9) — then that still qualifies as a function. Put more simply, it’s okay for a function to have multiple coordinate points in a straight lin...
Mathematically, you find them by looking at thederivative. At an extreme point, where there is a direction change, the derivative of the function is zero. Note: thederivativeis the slope of thetangent line. In the above graph, the tangent line is horizontal, so it has a slope (derivative...
I tested this out for ln(x), and it seemed to work well, but I suppose it could fail if taking the derivative of Tw(x)Tw(x) too many times causes Tw(x)Tw(x) to no longer match f(x)f(x) closely.I tested out this method of extending a function with Desmos, here is th...