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# Summary: Review

## Key Concepts

• A function is a special relation in which each input corresponds to exactly one output. An input is called the independent value, and an output is called the dependent value.
• The set of all input values makes up the domain, and the set of all output variables makes up the range of the function.
• A function may be described using notation stating that the output y is dependent upon the input x by writing $y = f(x)$.
• We may identify whether a relation represents a function from a table of values, a set of ordered pairs, or a graph.
• Functions may be evaluated for numerical or variable inputs

## Glossary

domain
the set of all input values into a function
function
a specific type of relation in which each input value corresponds to one and only one output value.
function notation
a notation used for representing output as a function of input, $y=f(x)$, that is y is a function of x
range
the set of all output values of a function
relation
a correspondence between sets of values or information
vertical line test
a method for determining graphically whether a relation represents a function