Functions and Relations

Yes, a function is a relation where each input has exactly one output.

No, if an input has more than one output, it is not a function.

Graph 1 is a function because it passes the vertical line test.

Range.

Domain.

A function is a relation that assigns exactly one output for each input.

A method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

A relation can have multiple outputs for a single input, while a function cannot.

The set of all possible input values (x-values) for the function.

The set of all possible output values (y-values) for the function.