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Tracing a graph in sagemath

asked 2020-02-28 04:38:53 -0600

gg gravatar image

updated 2020-02-28 04:40:01 -0600

So far my journey into the math world, I have relied on TI-83 calculator a lot to make graphs (as well as trace them).

As far as I know, I can only plot a graph with sagemath. Is there any way to trace a graph?

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What do you mean by "trace"ing a graph ?

Emmanuel Charpentier gravatar imageEmmanuel Charpentier ( 2020-02-28 05:02:55 -0600 )edit

Graph Trace lets you move a trace cursor over the points of a graph or plot and displays value information. On TI calculators there a button labeled TRACE, that does just that.

gg gravatar imagegg ( 2020-02-28 05:05:06 -0600 )edit

This is to which @gg refers, I think.

Juanjo gravatar imageJuanjo ( 2020-02-28 05:25:20 -0600 )edit

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answered 2020-02-28 05:15:00 -0600

Juanjo gravatar image

updated 2020-02-28 05:21:55 -0600

You can construct an interactive graph with a slider to trace the plotted function. As a proof of concept, you can check the interact given in this SageMath Cell. For the sake of completeness, I copy here the corresponding code:

f(x) = sin(2*x)-3*cos(x)
xmin = -2*pi
xmax = 4*pi
def _(xx=slider(xmin,xmax,default=xmin,label="x"), 
    p = plot(f(x), (x,xmin,xmax), color="green")
    if trace:
        p += text(r"$({0:f},{1:f})$".format(float(xx),float(f(xx))),(xx,f(xx)), 
                  color="black", vertical_alignment="top")
        p += point((xx,f(xx)), color="red", size=30)
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Nice ! Bravo !

Emmanuel Charpentier gravatar imageEmmanuel Charpentier ( 2020-02-28 15:57:27 -0600 )edit

Thank you!

Juanjo gravatar imageJuanjo ( 2020-02-28 16:35:22 -0600 )edit

That's quite nice, but still crude compared to TI

gg gravatar imagegg ( 2020-02-29 00:31:39 -0600 )edit

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Asked: 2020-02-28 04:38:53 -0600

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Last updated: Feb 28