3-1 Identify Functions and Domain and Range

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 repeated in the ordered pairs.

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

Identify the domain of the relation {(-6,14), (0,32), (2,38), (4,44)}.

Back

{-6, 0, 2, 4}.

Front

Identify the range of the relation {(-6,14), (0,32), (2,38), (4,44)}.

Back

{14, 32, 38, 44}.

Front

Is the relation {(3, 5), (5, 8), (1, 2)} a function?

Back

No, it is not a function because the x-value 5 is repeated.

Front

Is the relation {(8, 8), (5, 3), (5, 8)} a function?

Back

No, it is not a function because the x-value 5 is repeated.

Front

Is the relation {(5, 1), (3, 4), (8, 2)} a function?

Back

Yes, it is a function because each x-value is unique.

Front

What does it mean if a set of ordered pairs is not a function?

Back

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