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6

Here is a partial answer. I believe for Method -> {opts}, opts may be any of the following, and they will have whatever effect they have: Internal`InequalitySolverOptions[] Internal`ReduceOptions[] Internal`NSolveOptions[] (* {"ARSDecision" -> False, "BrownProjection" -> True, "CAD" -> True, "CADAlgebraicCoefficients" -> True, ...


6

I think that I stated this before in a previous post: ExclusionsStyle is a rather strange option. It works differently than other style options and the documentation on it must be read carefully. The relevant part of the documentation for this question is that concerning the style specification for the exclusion boundary points. In the OP's example, where ...


13

Outwardly, the graph looks just the same as the one without ExclusionsStyle -> Dashed: f[x_] := (x^5 - 4 x^2 + 1)/(x - 1/2); g1 = Plot[f[x], {x, -1, 2}, Exclusions -> f[x] == 0] But it's surprising that ExclusionsStyle does make a difference actually. Let's check the graphs with Alexey Popkov's shortInputForm: g1 // shortInputForm g2 = ...


2

Earlier invalid assertion redacted. Some spelunking reveals that the innermost (accessible) plot function called is: Visualization`Core`Plot And using this function directly also produces the message: Visualization`Core`Plot[Sinc[x], {x, 0, 10}, Method -> {"MaxBend" -> 1}] MaxBend::deprec: MaxBend->7 is deprecated and will not be supported in ...



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