more functions

tikz/hard-limit-function/hard-limit-function.tex

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+\documentclass[varwidth=false, border=2pt]{standalone}
+
+\usepackage{pgfplots}
+\usepackage{tikz}
+
+\begin{document}
+\begin{tikzpicture}
+    \begin{axis}[
+        axis x line=middle,
+        axis y line=middle,
+        grid = major,
+        width=16cm,
+        height=8cm,
+        grid style={dashed, gray!30},
+        xmin=-1,     % start the diagram at this x-coordinate
+        xmax= 1,    % end   the diagram at this x-coordinate
+        ymin= 0,     % start the diagram at this y-coordinate
+        ymax= 1.2,   % end   the diagram at this y-coordinate
+        xlabel=x,
+        ylabel=y,
+		/pgfplots/xtick={-1, -0.5, ..., 1}, % make steps of length 0.5
+		/pgfplots/ytick={0, 0.5, ..., 1}, % make steps of length 0.5
+        tick align=outside,
+        enlargelimits=false]
+      % plot the function
+	  \addplot[domain=-1:1, blue, ultra thick,samples=500] {x < 0 ? 0 : 1}; 
+    \end{axis} 
+\end{tikzpicture}
+\end{document}