Domain and Range

Front

What is a set of ordered pairs called?

Back

A relation.

Front

What is the definition of a function in terms of ordered pairs?

Back

A function is a relation where each x-value is paired with exactly one y-value.

Front

Does the graph represent a function if a single x-value is paired with multiple y-values?

Back

No, it does not represent a function.

Front

What is the domain of a relation?

Back

The set of all x-values.

Front

What is the range of a relation?

Back

The set of all y-values.

Front

How can you determine if a relation is a function from its graph?

Back

Use the vertical line test; if a vertical line intersects the graph at more than one point, it is not a function.

Front

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

Back

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

Front

What is an example of a relation that is a function?

Back

{(1, 2), (2, 3), (3, 4)}.

Front

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

Back

{(1, 2), (1, 3)}.

Front

What is the notation used to represent the domain of a function?

Back

The domain is often represented as D(f) or simply D.