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Re: Manipulating list of functions

Hi all,

we recently had a thread regarding manipulating a list of functions  
which worked fine:-

Manipulate[Block[{funcA, funcB, funcC, funcList},
   funcA[z_] := Sin[z + a];
   funcB[z_] := Cos[z + b];
   funcC[z_] := funcA[z] + funcB[z];
   funcList = #[x] & /@ {funcA, funcB, funcC};
   Plot[Evaluate[funcList], {x, 1, 10}, Axes -> False, Frame ->  
True]], {a, 0,
   Pi}, {b, 0, Pi}]

I have tried what I thought would be a trivial a variant of this for  
very simple functions:

  Block[{initialinvestment, nbrshares, profit, totalofholding,  
   initialinvestment := 100000;
   nbrshares[buyprice_] := initialinvestment/buyprice;
   profit[buyprice_] := (finalprice - buyprice)*nbrshares;
   totalofholding := profit + initialinvestment;
   funcList := #[x] & /@ {nbrshares, initialinvestment, profit,  
   Plot[Evaluate[funcList], {x, 4, 7}, Axes -> False, Frame -> True,
    PlotRange -> {0, 650000}]], {finalprice, 16, 24, 1}]

However I only get the nbrshares plotted, after several attempts I  
cannot get the desired output and would appreciate advice as to why  
the simpler function specifications lead to failure.

It appears that unless the functions all contain explicit references  
such as to "z" in the first working example then they are omitted.

Thanks in advance ... Syd

Syd Geraghty B.Sc, M.Sc.

sydgeraghty at

Mathematica 7.0.0 for Mac OS X x86 (64 - bit) (21st November, 2008)
MacOS X V 10.5.6
MacBook Pro 2.33 GHz Intel Core 2 Duo  2GB RAM

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