Function bounds in gnuplot

Question

I want to plot multiple bounded functions in gnuplot. I.e. plot x from 0 to 2 and x^2 from 1 to 3 and have them show up together.

How do you plot functions with different bounds?

I know how to do a piecewise function, like (x < 1 ? x : x**2). This is not what I want to do.

Answer 1

plot 0 <= x && x <= 2 ? x : 1/0, \
     1 <= x && x <= 3 ? x**2 : 1/0

We need to define what to draw outside the desired range, so we just use an undefined function f(x)=1/0 so that nothing is graphed in these ranges.