# Join a piecewise plot

I wrote some code to get a piecewise plot which is displayed correctly. Now I'd like to join the various parts of the plot, using some kind of interpolation, to get a continuous chart even though it's actually a piecewise one.

Let me to give you an example. Assuming $f_1(2) = 3$ and $f_2(2) = 1$, how can I join the points $(2,3)$ and $(2,1)$ in the plot?

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Should we assume that f1(3) and f2(1) are undefined? – Sparr Mar 22 '13 at 21:01

Your questions is not that clear to me, but I guess you want to join the two piece wise parts with a vertical line. That would be Exclusions.
Plot[Piecewise[{{3, x < 2}, {1, x > 2}}], {x, -2, 5}, Exclusions -> None]