Domain and Range

Front

What is the definition of 'domain' in a relation?

Back

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

Front

What is the definition of 'range' in a relation?

Back

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

Front

What is a function?

Back

A function is a relation where each input is paired with exactly one output.

Front

What is the difference between a relation and a function?

Back

A relation can have multiple outputs for a single input, while a function has only one output for each input.

Front

How do you determine the domain from a graph?

Back

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

Front

How do you determine the range from a graph?

Back

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

Front

What does it mean if a graph fails the vertical line test?

Back

If a graph fails the vertical line test, it means that it is not a function because a vertical line intersects the graph at more than one point.

Front

What is an example of a set that represents a domain?

Back

An example of a domain could be {1, 2, 3, 4}.

Front

What is an example of a set that represents a range?

Back

An example of a range could be {0, 1, 2, 3}.

Front

If a mapping pairs 2 with 5 and 2 with 6, is it a function?

Back

No, it is not a function because the input 2 has two different outputs.