functions 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

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How can you determine if a relation is a function using a mapping diagram?

Back

A relation is a function if each input (x-value) is connected to only one output (y-value) in the mapping diagram.

Front

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

Back

A relation is not a function if at least one input (x-value) is associated with more than one output (y-value).

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

What is the domain of the graph where y≥1?

Back

The domain is all real numbers.

Front

What is the range of the graph where y≥1?

Back

The range is {y | y ≥ 1}.

Front

If a mapping diagram shows x-value 11 paired with y-values 5 and 7, is it a function?

Back

No, because the x-value 11 has two y-values paired with it.