plotting multiple functions from a for loop

edit

Hello, @thetha. The problem is that

plotlist = [f.plot((x, 1, 10)) for f in funclist]

defines a list of Sage plots. You can verify this by writing

type(plotlist)
type(plotlist[0])

You should get:

<type 'list'>
<class 'sage.plot.graphics.Graphics'>

What you need is just one Sage plot, i.e., a <class 'sage.plot.graphics.Graphics'>, like any of the plotlist[i].

The solution is the following:

funclist = [1/x^i for i in range(10)]
plotlist = sum(f.plot((x, 1, 10)) for f in funclist)
plot(plotlist)

This way, instead of creating a list of plot, you sum all the plots together, which is equivalent to superimpose them in a single image. You can verify this by typing again:

type(plotlist)

(This time you will get <class 'sage.plot.graphics.Graphics'>, as desired.)

The result should look like this:

Here is a py func for plotting entirely different functions in different colors on the same graph, for comparison. example: multiplot(x^4,4*x^3,13+x^-2,sin(4*x)) comes out nicely. You can change the defaults if the graph looks funny. Legend colors from top to bottom differentiate the funcs plotted, from left to right.

def multiplot(*funcs,leftx=-10,rightx=10,ymin=-20,ymax=20,aspect_ratio="automatic"):
    """Plot multiple math objects. Reasonable defaults - reset if the graph looks funny.
    Legend colors from top to bottom differentiate the funcs plotted, from left to right."""
    a = plot(funcs,leftx,rightx,aspect_ratio=aspect_ratio,ymax=ymax,ymin=ymin,
             legend_label=" ")
    return a

There seems to be a partial overlap with question #29857, see

https://ask.sagemath.org/question/298...

The answers given there might be of some interest to you.