Domain & Range and Functions

Front

What is a function?

Back

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

Tags

CCSS.8.F.A.1

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

How can you determine if a relation is a function?

Back

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

Tags

CCSS.8.F.A.1

Front

What does it mean if a graph is not a function?

Back

If a graph is not a function, it means that at least one x-value has multiple y-values.

Front

What is an example of a function?

Back

An example of a function is y = 2x + 3, where each x-value gives one y-value.

Tags

CCSS.8.F.A.1

Front

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

Back

An example is the relation {(1, 2), (1, 3)}, where the x-value 1 has two different y-values.

Tags

CCSS.8.F.A.1

Front

What is the vertical line test?

Back

The vertical line test states that if a vertical line intersects a graph more than once, the graph is not a function.

Front

Find the DOMAIN of the relation: {(1, 2), (3, 4), (5, 6)}

Back

The DOMAIN is {1, 3, 5}.

Front

Find the RANGE of the relation: {(1, 2), (3, 4), (5, 6)}

Back

The RANGE is {2, 4, 6}.