Domain and Range of Functions

Front

What is a function?

Back

A function is a relation where each input (x-value) has 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 function?

Back

The domain is the set of all possible input values (x-values) for the function.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the domain?

Back

D: {-4, 0, 1, 2}.

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the range?

Back

R: {-4, -3, 1}.

Front

What does it mean if a table does not represent a function?

Back

It means that at least one x-value is paired with more than one y-value.

Front

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

Back

No, because the x-value 2 has two different y-values (3 and 4).

Front

What is an example of a function?

Back

The relation {(1,2), (2,3), (3,4)} is a function because each x-value has one y-value.

Front

What is an example of a non-function?

Back

The relation {(1,2), (1,3), (2,4)} is not a function because the x-value 1 has two y-values (2 and 3).