Plot a function for different parameters

Question

Suppose I have a function that I want to plot for several values of a parameter all in the same window. For instance the function $f$ defined as

f[a_,b_,c_,d_]:= a+Sin[b]*Exp[c]-d^4

If I now want to plot f[a,1,2,3] with respect to a from 0 to 1 I simply write

Plot[f[a,1,2,3],{a,0,1}]

But suppose I want to instead plot f[a,b,2,3] same as before for a from 0 to 1 but now the parameter b takes on several values, say b = 0,1,2,3,4 and so on. How can I do this all in the same plot (preferably with different colors on each curve corr. to the various b-values)?

@J.M.isback. OK I see what `Table[]' can do, but how can one implement it to write a smooth short code? Any tips? — Physics_maths, Oct 12 '15 at 14:26

m0nhawk · Accepted Answer · 2015-10-12T14:50:52.770

17

You can use Table for this:

Plot[Evaluate@Table[f[a, b, 2, 3], {b, 0, 5, 1}], {a, 0, 1}]

And you can also put there multiple parameters, so Table will use all of them.

You can use PlotLegend to specify the legend:

Plot[Evaluate@Table[f[a, b, 2, 3], {b, 0, 5, 1}], {a, 0, 1}, 
 PlotLegends -> LineLegend[Table[b, {b, 0, 5, 1}], LegendLabel -> x]]

edited Oct 12 '15 at 14:50

answered Oct 12 '15 at 14:25

m0nhawk

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ooo sexy, I'll try it out and report back here. – Physics_maths Oct 12 '15 at 14:27
Is there a simple way to add names to all the lines, e.g. some type of legend that explains? I mean I know I can write PlotLegends -> {"1","2",...} and so on, but a more automatic code would be nice. Sorry to bother you so much. – Physics_maths Oct 12 '15 at 14:32
@ShutupandCalculate look up PlotLegends. – rcollyer Oct 12 '15 at 14:34
Also, there's an undocumented option: Evaluated that when set to True operates just like using Evaluate. – rcollyer Oct 12 '15 at 14:35
FWIW, the docs for Plot[] mention the use of Table[] also... – J. M.'s missing motivation Oct 12 '15 at 14:36
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Try adding PlotTheme -> "Detailed" as an option for Plot for good looking plots with automatic labels. – rhermans Oct 12 '15 at 14:38
@rhermans I'll check it out. Thanks. – Physics_maths Oct 12 '15 at 14:42
Man this answer is just all that. Thanks a lot everyone! – Physics_maths Oct 12 '15 at 15:14

Plot a function for different parameters

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