I am pretty sure I can ask about software that mathematicians use.
I have been exploring offline and online software to make a simple graph :
$$y=3^x - 1$$
However most of them crossed the asymptotes when it isn't supposed to. because $y\ne -1$. If $-1=3^x - 1$, then $3^x=0$, which is never true.
So when I generate the graph, it will always result in some points to be $y=-1$.
So which software(s) that can properly avoid cutting asymptote $(y=-1)$
Software I have tried:
Some cheapo online tools that come first in google search(es).
Famous online graphing tool, Desmos, which gives an unwanted result: