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Tracing a graph in sagemath

asked 5 years ago

gg gravatar image

updated 5 years ago

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 ( 5 years ago )

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 ( 5 years ago )
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This is to which @gg refers, I think.

Juanjo gravatar imageJuanjo ( 5 years ago )

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answered 5 years ago

Juanjo gravatar image

updated 5 years ago

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
@interact
def _(xx=slider(xmin,xmax,default=xmin,label="x"), 
      trace=checkbox(default=False,label="Trace")):
    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)
    show(p)
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Nice ! Bravo !

Emmanuel Charpentier gravatar imageEmmanuel Charpentier ( 5 years ago )

Thank you!

Juanjo gravatar imageJuanjo ( 5 years ago )

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

gg gravatar imagegg ( 5 years ago )

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Asked: 5 years ago

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Last updated: Feb 28 '20