Functions

Front

What are all of the y values or outputs in a function called?

Back

Range

Front

How do you use the vertical line test?

Back

Draw vertical lines through your graph. If any of the vertical lines you draw intersects the graph more than once then the graph is not the graph of a function.

Front

What is the definition of a function?

Back

A relation where each input (x-value) has exactly one output (y-value).

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.

Front

What does it mean if a relation is not a function?

Back

It means that at least one input (x-value) is associated with more than one output (y-value).

Front

If the ordered pairs are (52, 3), (72, 4), (86, 5), and (105, 6), what is the domain?

Back

{52, 72, 86, 105}.

Front

What is an example of a function?

Back

The relation {(1, 2), (2, 3), (3, 4)} is a function because each input has one output.

Front

What is an example of a relation that is not a function?

Back

The relation {(1, 2), (1, 3)} is not a function because the input 1 has two outputs.

Front

What is the vertical line test used for?

Back

To determine if a graph represents a function.