Functions and Relations

Front

Does the following represent a function?

Back

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

Front

Does the following represent a function?

Back

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

Front

Which graph is a function?

Back

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

Front

All of the y values or outputs are called what?

Back

Range.

Front

All of the x values or inputs are called what?

Back

Domain.

Front

What is a function?

Back

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

Front

What is the vertical line test?

Back

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.

Front

What is the difference between a relation and a function?

Back

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

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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