       Re: Mimicking the TI calculator graph "trace" function

• To: mathgroup at smc.vnet.net
• Subject: [mg113212] Re: Mimicking the TI calculator graph "trace" function
• From: Bob Hanlon <hanlonr at cox.net>
• Date: Tue, 19 Oct 2010 05:54:26 -0400 (EDT)
• Reply-to: hanlonr at cox.net

```Don't know anything about the calculator but this may be close to what you want:

f[x_] := (x + 2) (x - 1) (x - 3)

Manipulate[
Module[{fp, pt, xdel = 0.1, xmin = -3, xmax = 4},
Plot[f[x], {x, xmin, xmax},
Frame -> True,
Epilog -> {Text[
{p, NumberForm[fp = f[p], 3]},
pt = {p, fp},
{If[p < (xmax + xmin)/2, -1.5, 1.5],
If[fp < 0, -1, 1]}],
If[fp == 0 ||

Abs[f'[p]] < Abs[f'[p - xdel]] &&

Abs[f'[p]] < Abs[f'[p + xdel]],
Directive[AbsolutePointSize, Red],
Directive[AbsolutePointSize, Blue]],
Point[pt]}]],
{{p, -3, x}, -3, 4, 0.1,
Appearance -> "Labeled"}]

Bob Hanlon

---- John Accardi <accardi at accardi.com> wrote:

=============
Hello ....

I'm trying to find the easiest way to get Mathematica to do what a TI-84
calculator does with the "trace" button on a graph.  (displays x,y
coordinates at tracing cursor positions).  Alternately, I could live
with having the intersection point(s) of two graphs dynamically display,
with label(s), on a plot, along with the function graphs.  I know I can
do this in a table of values, but I want to see point and label on the
graph plot.

This document describes much of it, but you have to hard code the
solution point to create the point label:

(The above document contains a link to the *.nb being described.)

I guess I am looking for any code that exists where the point label is
created dynamically after a solution point is calculated and included in
the plot.

This seems like a very common thing to want to do but I cannot seem to
find anything in the archive/forum that does anything like this.

Thanks for any insights.

Gianni

--

Bob Hanlon

```

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