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user484
user484

Simple solution using RegionFunction:

f[x_] := {x, x^2, x^3, x^4, x^5};
Plot[Evaluate@f[x], {x, 0, 2}, PlotLegends -> "Expressions", 
 RegionFunction -> Function[{x, y}, y == Min[ys]]Min[f[x]]], PlotPoints -> 20, 
 PlotRange -> All, PlotStyle -> ColorData[35, "ColorList"]]

enter image description here

One limitation is that you get overshooting unless you fiddle with the number of PlotPoints.

The only reason I changed the PlotStyle is because the first and fifth colours are hard to tell apart in the default colour scheme.

Simple solution using RegionFunction:

f[x_] := {x, x^2, x^3, x^4, x^5};
Plot[Evaluate@f[x], {x, 0, 2}, PlotLegends -> "Expressions", 
 RegionFunction -> Function[{x, y}, y == Min[ys]], PlotPoints -> 20, 
 PlotRange -> All, PlotStyle -> ColorData[35, "ColorList"]]

enter image description here

One limitation is that you get overshooting unless you fiddle with the number of PlotPoints.

The only reason I changed the PlotStyle is because the first and fifth colours are hard to tell apart in the default colour scheme.

Simple solution using RegionFunction:

f[x_] := {x, x^2, x^3, x^4, x^5};
Plot[Evaluate@f[x], {x, 0, 2}, PlotLegends -> "Expressions", 
 RegionFunction -> Function[{x, y}, y == Min[f[x]]], PlotPoints -> 20, 
 PlotRange -> All, PlotStyle -> ColorData[35, "ColorList"]]

enter image description here

One limitation is that you get overshooting unless you fiddle with the number of PlotPoints.

The only reason I changed the PlotStyle is because the first and fifth colours are hard to tell apart in the default colour scheme.

Source Link
user484
user484

Simple solution using RegionFunction:

f[x_] := {x, x^2, x^3, x^4, x^5};
Plot[Evaluate@f[x], {x, 0, 2}, PlotLegends -> "Expressions", 
 RegionFunction -> Function[{x, y}, y == Min[ys]], PlotPoints -> 20, 
 PlotRange -> All, PlotStyle -> ColorData[35, "ColorList"]]

enter image description here

One limitation is that you get overshooting unless you fiddle with the number of PlotPoints.

The only reason I changed the PlotStyle is because the first and fifth colours are hard to tell apart in the default colour scheme.