I have two functions, like:
f(x)=2**x
g(x)=1024
how can I use gnuplot to plot these two functions for x from 0 to 10 and fill the space between them?
Unfortunatly gnuplot does not offer this kind of feature for functions and only for data sets. There are two ways to do this now, one of which I would recommend:
f(x)=2**x
g(x)=1024
xmax=10
set xrange [0:xmax]
plot '+' using 1:(f($1)):(g($1)) with filledcurves closed