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Functions and Graphs

• A function is a rule in which each value assigned to the function (each input) produces exactly one output.

• Functions are graphed on the coordinate plane.

• The input value is called the independent variable and the output is called the dependent variable.

• A relation is a set of ordered pairs. The set of all first terms is called the domain of the relation. The set of second terms is called the range of the relation.

• A discrete function has a graph consisting of isolated points that are not connected.

• A continuous function has a graph that is a smooth curve or line.