Relations, Functions, Domain and Range

Front

What are the outputs of a relation called?

Back

Range

Front

What is a function?

Back

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

Front

How can you determine if a relation is a function using the vertical line test?

Back

If a vertical line intersects the graph at more than one point, the relation is not a function.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

Can a function have the same y-value for different x-values?

Back

Yes, a function can have the same y-value for different x-values, as long as each x-value has only one corresponding y-value.

Front

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

Back

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

Front

What is an example of a function?

Back

The equation y = 2x + 3 is a function because each x-value has a unique y-value.

Front

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

Back

The relation {(1, 2), (1, 3)} is not a function because the x-value 1 has two different y-values.

Front

How do you find the domain of a function from a graph?

Back

Identify all the x-values that the graph covers.