Drawing function with 3 variables in a graph

*To*: mathgroup at smc.vnet.net*Subject*: [mg71827] Drawing function with 3 variables in a graph*From*: royend at gmail.com*Date*: Thu, 30 Nov 2006 06:05:35 -0500 (EST)

I want to draw a fairly complex function several times in one graph. By using different colour I hope to present the development of my function as the three variables changes. Earlier I have managed two variabels by using this: Plot[Evaluate[ { Table[ f[t,m], {m,0,5}] } ], {t,-20,20}, PlotStyle->etc] But this time I have met difficulties because one of my variables are "hidden" inside the function f(t,m), like this: g(a) = a/2 f(t) = m*g(a)^t m,a and t are variables. Therefore I need to control 3 variables and have tried this: With[ {a=5}, Plot[ same as above].... I have read some about lists, graphics and so on but still haven't been able to find any solution. Do you have any tips for solving this?