# How to only use filled and empty extent markers in the middle

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 I am plotting a piecewise distribution function for a discrete distribution: distributionFunction//ClearAll distributionFunction[p_]:=\[Piecewise] 0 p<1 0.4 1<=p<2 0.7 2<=p<3 0.9 3<=p<4 1 4<=p I would like to plot the function so when there is a jump up there is an empty extent marker below and a filled marker above and to the right. I can do that with this. DiscretePlot[distributionFunction[p], {p, 0, 5}, ExtentSize -> All, ExtentMarkers -> {"Filled", "Empty"}] However, I am not able to tell the function to use not extent marker for -infinity which would be zero in this case. I also don't want the function to add empty extent markers for positive infinity.Is there a way to control this behavior with Discrete Plot? I could specify something like empty extent markers at <1,0>, <2,0.4>, <3,0.7>, and <4,0.9> and filled extent markers at <1,0.4>, <2,0.7>, <3,0.9>, and <4,1>.