       Re: Draw two functions in a graph, one of them does also

• To: mathgroup at smc.vnet.net
• Subject: [mg90246] Re: Draw two functions in a graph, one of them does also
• From: Bill Rowe <readnews at sbcglobal.net>
• Date: Thu, 3 Jul 2008 06:12:01 -0400 (EDT)

On 7/2/08 at 5:28 AM, murray at math.umass.edu (Murray Eisenberg) wrote:

>Add an option if you wish that makes the zero function (when a==0)
>be more visible:

>Plot[{f[x], Table[g[a][x], {a, 0, 3}]}, {x, 0, 1},PlotStyle->Thick]

>That plots f in one color and the several g[a] in a second
>color. If you want automatic coloring with more than two
>colors, you could
>do this:

>Plot[Evaluate@{f[x], Table[g[a][x], {a, 0, 3}]}, {x, 0, 1}]

>(I don't know why the Evaluate does this!)

When you use Evaluate, the Table part of the expression gets
evaluated to a list *before* Plot assigns values to x.
Consequently, Plot sees a list of functions to be plotted and
they get plotted in different colors.

When you omit Evaluate, Plot provides a specific value for x
then Table does its thing. The result is Plot sees a single
multi-valued function which it plots in a single color.

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