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Function borders in gnuplot

I want to build many limited functions in gnuplot. That is, plot x from 0 to 2 and x ^ 2 from 1 to 3 and show them together.

How do you build functions with different boundaries?

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

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

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

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Source: https://habr.com/ru/post/1333423/

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