2.1 Identifying Functions and Domain/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 from a table?

Back

A relation is a function if no x-value is repeated with a different y-value.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

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

Back

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

Front

How do you find the domain from a graph?

Back

The domain can be found by identifying the x-values that the graph covers.

Front

How do you find the range from a graph?

Back

The range can be found by identifying the y-values that the graph covers.

Front

What is the difference between open and closed intervals in domain/range?

Back

Closed intervals include the endpoints (e.g., [1, 4]), while open intervals do not (e.g., (1, 4)).

Front

If a graph has points at (1, 2), (2, 3), and (3, 4), what is the domain?

Back

The domain is {1, 2, 3}.

Front

If a graph has points at (1, 2), (1, 3), and (1, 4), is this a function?

Back

No, because the x-value 1 is associated with multiple y-values.