Plot functions with different domains in Maxima

Question

What is the best way of plotting several functions with different domains into the same plot? Is there a way to do this with plot2d, or do I have to use draw2d instead?

I especially like the possibility in plot2d to give several functions in a list, whereas I would have to add the different functions in draw2d as separate parameters, if I understand the documentation correctly.

An example of what I mean:

f(x, a) := sqrt(a) * exp(-(x-a)^2);
fmax(x) := sqrt(x);

In this example I would like to plot f(x, a) for several a (e.g. using makelist(f(x, a), a, [0, 0.5, 1, 2, 5])) from -1 to 10 and fmax from 0 to 5 (to show where the maxima of the f(x, a) family of curves are located).

slitvinov · Accepted Answer · 2013-06-20 14:50:35Z

3

You can try draw2d

f(x, a) := sqrt(a) * exp(-(x-a)^2);
fmax(x) := sqrt(x);

flist: makelist(f(x, a), a, [0, 0.5, 1, 2, 5]);

par: map(lambda([f], explicit(f, x, -1, 10)), flist);
par: append([explicit(fmax, x, 0, 5), color=red], par);

load(draw);
apply(draw2d, par);

answered Jun 20, 2013 at 14:50

slitvinov

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1 Comment

quazgar Over a year ago

Yes, this seems to work. Thanks especially for showing the combination of lists and apply to expand the content as arguments.

Libervurto · Accepted Answer · 2019-04-29 05:22:14Z

1

This was frustrating me for hours but I found a way to have multiple differently domained functions on the same graph.

wxplot2d([if x < 0 then -x else sin(x), if x > -1 then x^2],[x,-%pi,%pi],[y,-2,2]);

answered Apr 29, 2019 at 5:22

Libervurto

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Comments

quazgar · Accepted Answer · 2013-06-19 08:39:14Z

0

One approach I am not particularly happy with is to declare the functions with smaller domains as parametric curves, with the x axis parameter being simply x:

f(x, a) := sqrt(a) * exp(-(x-a)^2);
fmax(x) := sqrt(x);
plot2d(endcons([parametric, x, fmax(x), [x, 0, 5], [nticks, 80]],
               makelist(f(x, a), a, [0, 1/2, 1, 2, 5])),
       [x, -1, 10]);

edited Jun 19, 2013 at 8:39

answered Jun 19, 2013 at 8:09

quazgar

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