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Suppose I have a function f[a,b,c] and would like to plot the values of f[a,b,c] for a range of $\frac{a}{b}$ and a range of $c$. That is, I'd like to see the change in the function over various $\frac{a}{b}$ for each value of $c$. Does anyone know how this could be done?

Any help appreciated.

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  • $\begingroup$ Can f[a,b,c] = a+b+c. If yes then you would have to specify either a or b right. Or is the function only made of ratios of a/b and c. $\endgroup$ – Hubble07 Dec 26 '16 at 8:22
  • $\begingroup$ @Hubble07 Yes, it can be expressed as $a + b + c$. However I'd like to constrain the ratio of $a$ and $b$ though, without setting either value. $\endgroup$ – John M. Dec 26 '16 at 8:38
  • $\begingroup$ Does your f satisfy a "homogeneity relation"; i.e., a relationship between f[a, b, c] and f[a/b, 1, c]? $\endgroup$ – J. M.'s ennui♦ Dec 26 '16 at 10:21
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Let your function be simply a+b+c then you can do the following:

f[d_, c_] := Module[{a = 1, b},
b = a/d;
a + b + c]


Plot[{f[d, 1], f[d, 2]}, {d, 1, 5}, PlotRange -> Full, Frame -> True, 
PlotLegends -> "Expressions"]

enter image description here

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