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.

**Follow-Ups**:**Re: Question about MeshFunctions (Plot function)***From:*Vicent <vginer@gmail.com>