Domain and Range

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input (x-value) and an output (y-value).

Front

What is a function?

Back

A function is a special type of relation where each input (x-value) is paired with exactly one output (y-value).

Front

How can you determine if a relation is a function?

Back

A relation is a function if no x-value is paired with more than one y-value.

Front

What is the domain of a relation?

Back

The domain is the set of all possible x-values (inputs) in a relation.

Front

What is the range of a relation?

Back

The range is the set of all possible y-values (outputs) in a relation.

Front

If a relation has the ordered pairs (2, 3), (2, 5), (4, 6), is it a function?

Back

No, because the x-value 2 is paired with two different y-values (3 and 5).

Front

What does it mean for a function to be one-to-one?

Back

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

Front

What is an example of a function?

Back

An example of a function is the relation {(1, 2), (2, 3), (3, 4)}.

Front

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

Back

An example of a relation that is not a function is {(1, 2), (1, 3), (2, 4)}.

Front

How do you find the domain from a graph?

Back

To find the domain from a graph, identify all the x-values that the graph covers.