Gnuplot's Graphic Jump

Question

is there a way to avoid the drawing of the near asymptote line in the function 1/(2-x), for example, without usage of conditional plotting? The idea is to draw iterated functions based in this one and, since asymptote changes, using conditional plotting isn't a good solution.

Answer 1

1. You can plot with points at a very high sampling rate:

   set yrange [-10:10]
   set samples 100000
   plot 1/(2-x) with points
   

2. If the singularity occurs at different values of x you can use conditional plotting on y:

   f(x)=1/(2-x)
   set samples 1000
   plot (abs(f(x)) < 10 ? f(x) : 1/0) with lines