# Algebra II: Functions

### Terms

Domain  -  The set of all inputs of a relation or function.
Function  -  A relation in which each input has only one output. Often denoted f (x) .
Horizontal Line Test  -  If every horizontal line you can draw passes through only 1 point, x is a function of y . If you can draw a horizontal line that passes through 2 points, x is not a function of y .
Range  -  The set of all outputs of a relation or function.
Relation  -  A set of inputs and outputs, often written as ordered pairs (input, output).
Restricted Domain  -  The domain of a function that is not defined for all real numbers.
Vertical Line Test  -  If every vertical line you can draw goes through only 1 point, y is a function of x . If you can draw a vertical line that goes through 2 points, y is not a function of x .

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