Domain and Range

Front

What is the definition of a function?

Back

A function is a relation in which 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 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 in a relation.

Front

What is the range of a relation?

Back

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

Front

What does it mean if a relation has a domain of {3,7}?

Back

It means that the only x-values that can be used in the relation are 3 and 7.

Front

What does it mean if a relation has a range of {0,5}?

Back

It means that the only y-values that can be produced by the relation are 0 and 5.

Front

How can you represent a relation with a specific domain and range?

Back

You can represent it using ordered pairs that include the specified x-values and y-values.

Front

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

Back

The relation {(1,2), (1,3)} is not a function because the x-value 1 is paired with two different y-values.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function; if a vertical line intersects the curve more than once, it is not a function.

Front

If a graph shows y-values ranging from 1 to 5, what is the range?

Back

The range is 1 ≤ y ≤ 5.