Okay, to clarify: I clearly interpret the word “graph” here as
“graphical representation”.
To say a graph of a function has to be perfect, otherwise its not a graph
is not practical to me. This would automatically disqualify any drawing by
hand. Also graphs on a, let’s say, LCD monitor are not perfect, because
of the pixels. You always have this tiny error. To say a graph *must* be
perfect would disqualify all these images.
So I still think the current definition of fancyxra is pretty good and
practical and does not need to be changed.

If you want to interpret “graph” in a strict mathematical sense
(whatever that may be), I’d suggest to create a new lujvo, because I
think you mean something different than I think. Maybe a new lujvo could
settle these disputes, hopefully.