Domain, Range, & Functions

Front

What is the domain of 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 range of 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 determine the domain from a set of ordered pairs?

Back

To determine the domain, list all the unique x-values from the ordered pairs.

Front

How do you determine the range from a set of ordered pairs?

Back

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

Front

What is a function?

Back

A function is a relation where each input (x-value) is associated with exactly one output (y-value).

Front

Can a relation have multiple outputs for the same input and still be a function?

Back

No, a relation cannot have multiple outputs for the same input and still be a function.

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 input -1 has two different outputs.

Front

If a relation is defined as {(-2, 3), (0, 1), (2, 3)}, what is the domain?

Back

D = {-2, 0, 2}.

Front

If a relation is defined as {(-2, 3), (0, 1), (2, 3)}, what is the range?

Back

R = {1, 3}.

Front

What does it mean if a function is one-to-one?

Back

A one-to-one function means that each output is paired with exactly one input, and no two different inputs have the same output.