Re: Plotting functions and lines on the same figure?

• To: mathgroup at smc.vnet.net
• Subject: [mg113844] Re: Plotting functions and lines on the same figure?
• From: Alexei Boulbitch <alexei.boulbitch at iee.lu>
• Date: Mon, 15 Nov 2010 05:51:24 -0500 (EST)

```Hi, Mark.

One regular method to do what you need is to use graphics primitives like Line[], Arrow[] and so on and
to combine them with the graphics of a function using Show. Since Show[] inherits the properties of its first argument,
I recommend to put as a first argument the graph of your function.
Try for instance, this:

pl = Plot[Sin[x], {x, -\[Pi], \[Pi]}];
ln1 = Graphics[{Red, Thickness[0.01],
Line[{{-3 \[Pi]/4, -Sin[3 \[Pi]/4]}, {3 \[Pi]/4, Sin[3 \[Pi]/4]}}]
}];
Show[{pl, ln1}]

and play with the line color, thickness and coordinates.
Have fun, Alexei

I would like to plot straight lines into a graph of a function, i.e. after Plot[f[x], {x, -l, +l}]
I need to insert into the graph three straight lines. Could not bring to work graphics primitive Line
since I could make it plot only on a separate graph.
How can one Plot and Line on the same figure?

Mark.

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Alexei Boulbitch, Dr. habil.
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