There are a great many things that can be learned from a graph such as data on time. Graphs can teach about learning trends fore a given amount of time for example.
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If all the vertices and edges of a graph A are in graph B then graph A is a sub graph of B.
the parent graph of a graph
You can graph an equation or an inequality but you cannot graph an expression.
This graph fails the vertical line test at x = 3This graph is not the graph of a function.
the graph that is the parent