Domain & Range

Front

What is the definition of 'Domain' in a relation?

Back

The domain of a relation is the set of all possible input values (x-values) for which the relation is defined.

Front

What is the definition of 'Range' in a relation?

Back

The range of a relation is the set of all possible output values (y-values) that result from the input values in the domain.

Front

How do you find the range of a set of ordered pairs?

Back

To find the range, list all the unique y-values from the ordered pairs.

Front

What is a 'relation' in mathematics?

Back

A relation is a set of ordered pairs, typically representing a relationship between two sets of values.

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 tell if a relation is a function?

Back

A relation is a function if no x-value is repeated with different y-values.

Front

Given the ordered pairs (1, 2), (2, 3), (3, 4), what is the domain?

Back

The domain is {1, 2, 3}.

Front

Given the ordered pairs (1, 2), (1, 3), (2, 4), is this a function?

Back

No, it is not a function because the x-value 1 is associated with two different y-values (2 and 3).

Front

What is the domain of the relation represented by the set of ordered pairs {(2, 3), (4, 5), (6, 7)}?

Back

The domain is {2, 4, 6}.

Front

What is the range of the relation represented by the set of ordered pairs {(2, 3), (4, 5), (6, 7)}?

Back

The range is {3, 5, 7}.