Piecewise functions in Maxima or GNUplot

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Maxima is a powerful tool for graphing, but users may struggle with drawing piecewise functions due to a lack of prior experience with CAS software. The user prefers using GNUplot for graphing and seeks a method to limit the domains of functions rather than graphing them separately. The help files do not provide clear guidance on implementing piecewise functions. A suggested solution involves using an "if" structure to define the piecewise function. Understanding how to apply this in GNUplot can enhance the user's graphing capabilities.
GregA
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I managed to lay my grubby mitts on Maxima about a month ago (fantastic program), but having no prior knowledge of CAS software or programming I am stuggling trying to figure out how to draw piecewise defined functions either through maxima itself or the GNUplot command line window (I prefer the latter for graphing)...I know that I can just graph two functions together and make a mental note of where one stops and the other starts, but what I want to do is just limit their domains, and nowhere in the help files I have can I find even a vague mention of this. can anyone help?
 
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a function with an if struct will do it.

http://gnuplot.info/docs/gnuplot.html#if
 
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