Constant plots draw lines parallel to the x-axis to connect coordinates. The discontinuous edges may be drawn or not, and marks may be placed on left or right ends.
The code is from the PGFPlots 1.10 manual: “4.5.2 Smooth Plots”.
Edit and compile if you like:\documentclass[border=10pt]{standalone}\usepackage{pgfplots}\pgfplotsset{width=7cm,compat=1.8}\begin{document}\begin{tikzpicture}\begin{axis}\addplot+[smooth] coordinates{(0,0) (1,2) (2,3)};\end{axis}\end{tikzpicture}\end{document}