       Re: Plotting multiple functions with different plot ranges?

• To: mathgroup at smc.vnet.net
• Subject: [mg33568] Re: [mg33546] Plotting multiple functions with different plot ranges?
• From: BobHanlon at aol.com
• Date: Sun, 31 Mar 2002 04:09:28 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

```In a message dated 3/29/02 8:44:16 AM, siegman at stanford.edu writes:

>Is there any approved way to plot multiple functions with different plot
>ranges
>in a single Plot command
>
>Suppose, e.g., I want to plot Cos[x] over the full range from 0 to 2 Pi
>but
>Sin[x] only over the subrange from Pi.2 to 3Pi/2, with just one Plot command.
>
>My naive initial attempt, namely
>
>   Plot[{Cos[x], If[x > Pi/2 && x < 3Pi/2, Sin[x]]},  {x, 0, 2Pi},
>    PlotRange -> {{0, 2Pi}, {-1,1}},  PlotStyle -> Thickness[0.008]];
>
>does what's wanted but generates a lot of "Plot::plnr" error messages.
>
>Workarounds include:
>
>1)  Turn Off the error messages (dangerous?)
>
>2)  Add a second argument to the If[ ]  statement that sets the second
>function
>to some constant  c1  outside the desired subrange, i.e.
>
>   Plot[{Cos[x], If[x > Pi/2 && x < 3Pi/2, Sin[x], c1]}, {x, 0, 2Pi},
>    PlotRange -> {{0, 2Pi}, {-1,1}}, PlotStyle -> Thickness[0.008]];
>
>where  c1  could be 0 or a number that falls on an axis line or outside
>the
>PlotRange for the plot.
>
>(Doing this still gives unwanted vertical "jump lines" at the ends of the
>
>subrange, along with unwanted effects if line Thickness is increased).
>
>3)  Make two Plots and combine using Show (tedious).
>
>4)  Set second function value to Null outside the subrange? (doesn't seem
>to
>work).
>
>Other solutions?
>

Needs["Graphics`Graphics`"];
Needs["Graphics`Colors`"];

DisplayTogether[
Plot[Cos[x], {x,0,2Pi},PlotStyle->Blue],
Plot[Sin[x], {x,Pi/2,3Pi/2},PlotStyle->Red],
Ticks->{PiScale,Automatic}];

Bob Hanlon
Chantilly, VA  USA

```

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