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Question about MeshFunctions (Plot function)
*To*: mathgroup at smc.vnet.net
*Subject*: [mg105057] Question about MeshFunctions (Plot function)
*From*: Vicent <vginer at gmail.com>
*Date*: Thu, 19 Nov 2009 05:24:27 -0500 (EST)
Hello.
Thank you for all your answers to my previous question. They were very useful.
I have a question related to the MeshFunctions option in the Plot function.
I've tried this
Plot[ f[x] , {x , 5 , 10} , Frame -> True , PlotRange -> { 2 ,
4 } , AspectRatio -> 1/GoldenRatio , PerformanceGoal -> "Quality"
,
Mesh -> { { 0. } } , MeshFunctions -> { f1[#] & , f2[#] & } ,
MeshStyle -> { Directive[ PointSize[ Large ] , Red ] , Directive[
PointSize[ Large ] , Blue ] } ]
and it works OK: it plots the curve for f[x] and marks (in my case)
two points on it: one red and one blue, at the points where functions
f1[x] and f2[x] take value 0.
I could do the same with other different functions g[x], g1[x] and g2[x].
But, is it possible to draw both curves in the same frame?? I don't
know which is the proper syntax --I mean, this:
Plot[ { f[x] , g[x] } , {x , 5 , 10} , Frame -> True ,
PlotRange -> { 2 , 4 } , AspectRatio -> 1/GoldenRatio ,
PerformanceGoal -> "Quality" ,
Mesh -> { { 0. } } , MeshFunctions -> { { f1[#] & , f2[#] & } , {
g1[#] & , g2[#] & } },
MeshStyle -> { Directive[ PointSize[ Large ] , Red ] , Directive[
PointSize[ Large ] , Blue ] } ]
produces an error message. How can I get the kind of graphic I want?
By the way (and this is another question, in fact), as I've just tried
to explain, I decided to use "MeshFunctions" in order to draw a curve
with three parts distinguished in it (the boundaries being the red and
the blue point, I mean). I also was trying to do it with the
"RegionFunction" option of the "Plot" sentence, but I couldn't get the
same result (I don't want the curve to be drawn only within a given
range, but I want the whole curve to be drawn and the different parts
of the curve to be indicated). The different parts of the curve f[x]
are bounded by the zeros of the functions f1[x] and f2[x], in my
example.
Are there any other ways to get what I want??
Please, if I didn't manage to explain my questions clearly enough, let
me know. I could attach a picture of what I want to draw.
Thank you in advance.
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