gnuplot--fill the space between two functions

Question

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?

Answer 1

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

Answer 2

The answer by @toxicate20 demonstrates nice usage for the pseudofile +. For this particular case, that's not actually necessary since one of your functions is simply a constant:

set xrange [0:10]
plot 2**x w filledcurves y1=1024