Relations: Domain, Range, & Functions

Front

What is a function?

Back

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

Front

Determine if the following is a function: {(5,2), (3,-9), (2, 2)}

Back

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

Front

What is the domain of a relation?

Back

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

Front

State the domain of the relation: {(-1, 3), (0,5), (1, 4), (1, 2)}

Back

{-1, 0, 1}.

Front

What is the range of a relation?

Back

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

Front

Determine if the following is a function: {(-1, 3), (0,5), (1, 4), (1, 2)}

Back

No, it is not a function because the x-value 1 has two different outputs.

Front

How do you identify the domain from a set of ordered pairs?

Back

List all the unique x-values from the pairs.

Front

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

Back

List all the unique y-values from the pairs.

Front

What is an example of a function?

Back

f(x) = 2x + 3, where each x-value gives a unique y-value.

Front

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

Back

{(1, 2), (1, 3)}, because the x-value 1 has two different outputs.