Domain and Range

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that result from using the function.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that can be used in the function.

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 defines 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

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point in a coordinate system.

Front

How do 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 difference between domain and range?

Back

The domain refers to the set of all possible x-values, while the range refers to the set of all possible y-values.

Front

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

Back

No, it is not a function because the x-value 2 is paired with two different y-values (3 and 4).

Front

What is the range of the function defined by the ordered pairs (1, 2), (2, 3), (3, 4)?

Back

The range is {2, 3, 4}.

Front

What is the domain of the function defined by the ordered pairs (1, 2), (2, 3), (3, 4)?

Back

The domain is {1, 2, 3}.