When graphed, a function has any shape so that all vertical lines will cross the graph in at most one point. A relation does not have this condition. One or more vertical lines may (not must) pass thru a relation in more points.
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A relation is just a set of ordered pairs. They are in no special order. Therefore there is no particular shape assigned to a relation. A function is a special kind of relation. A relation becomes a function when the x value only has one y value.
A function is a relation where one variable specifies a single value of another variable. Presenting relation and function can be done different ways including verbal, numerical, algebraic, and graphical.
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Not every relation is a function. But every function is a relation. Function is just a part of relation.
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