I have a Piecewise. For vertical line I have to add Exclusions -> None.
a1 = 1; b1 = 2; c1 = 2; L[x_] := (x - a1)/(b1 - a1); R[x_] := (c1 - x)/(c1 - b1); A[x_] = Simplify[Piecewise[{{0, x < a1}, {L[x], a1 <= x <= b1}, {R[x], Inequality[b1, LessEqual, x, Less, c1]}, {0, x >= c1}}, 0]]; p1 = Plot[A[x], {x, a1, c1 + 0.1}, PlotStyle -> {Black, Dashed}, Exclusions -> None] What are the other options available? Can I make dashed to * or o. 

Exclusions->Noneand addExclusionsStyle -> {Directive[Blue, Dotted], Directive[Red, AbsolutePointSize[10]]}$\endgroup$PlotStyle -> {None}, Mesh -> 10, MeshStyle -> Automatic$\endgroup$ExclusionsStyle$\endgroup$