Graphs are (1) graphs functions or (2) sets of nodes and edges.

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Best way to generate a nice function graph in LaTeX?

Which is the best way to put function graphs into a LaTeX document?
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Drawing a hypergraph

What is the proper way to draw a hypergraph? Is there a package to do this, or is there an easy way to draw such diagrams with a common drawing method like tikz? I'm trying to draw something like