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 associated 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 repeated with different y-values.

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

Given the relation {(2, 3), (4, 5), (2, 6)}, is it a function?

Back

No, because the x-value 2 is paired with two different y-values (3 and 6).

Front

What is the domain of the relation {(1, 2), (3, 4), (5, 6)}?

Back

The domain is {1, 3, 5}.

Front

What is the range of the relation {(1, 2), (3, 4), (5, 6)}?

Back

The range is {2, 4, 6}.

Front

How do you find the domain from a graph?

Back

Identify all the x-values that the graph covers.

Front

How do you find the range from a graph?

Back

Identify all the y-values that the graph covers.