Advanced Graphing error?

[Han]

(04-05-2017 07:46 AM)jte Wrote:  The Advanced Graphing App is designed around real (not complex) arithmetic.

As surmised, the Advanced Graphing App allows (does not treat as uniformly undefined) applications of the power operator with negative bases and non-integer fractional exponents. Here is a labelled plot of y=x^x. (GrafEq and the Advanced Graphing App employ similar techniques and have code in common.)

Fundamental improvements to these sorts of plots are, of course, possible. I've implemented some experimental graphing engines which do produce richer plots for these sorts of "curves" but have yet to release any of them to the general public.

Even ignoring such fundamental improvements, there are still some 'i's to dot and 't's to cross when it comes to the Advanced Graphing App.

The graph of x^x is quite misleading. How would such a graph be useful? It appears continuous but is nowhere continuous; it is a function but does not look like a function due to the density of (ir)rationals.