Local
Behavior
The appearance or properties of a function, graph,
or geometric figure in
the immediate neighborhood of a particular
point. Usually this refers to any
appearance or property that becomes more apparent as you zoom
in on the point.
For example,
as you zoom in to the graph of y = x^{2} at
any point, the graph looks more and more like a line.
Thus we say that y = x^{2} is
locally linear. We say this even though
the graph is not actually a
straight line.
