Domain and Range

Front

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

Back

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

Front

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

Back

The range of a relation is the set of all possible output values (y-values) that result from the input values in the domain.

Front

How can you determine if a relation is a function?

Back

A relation is a function if each input value (x-value) corresponds to exactly one output value (y-value).

Front

What does it mean if a function has repeating y-values?

Back

If a function has repeating y-values, it can still be a function as long as each x-value corresponds to only one y-value.

Front

What does it mean if a function has repeating x-values?

Back

If a function has repeating x-values with different y-values, it is not a function because one input cannot produce multiple outputs.

Front

Given the relation {(1, 2), (2, 3), (1, 4)}, is this a function?

Back

No, it is not a function because the input value 1 corresponds to two different output values (2 and 4).

Front

What is the range of the relation {(1, 2), (2, 3), (3, 4)}?

Back

The range is {2, 3, 4}.

Front

What is the domain of the relation {(1, 2), (2, 3), (3, 4)}?

Back

The domain is {1, 2, 3}.

Front

If a relation has the ordered pairs (2, 5), (3, 5), (4, 5), what is the range?

Back

The range is {5}.

Front

Is the relation {(1, 2), (2, 2), (3, 2)} a function?

Back

Yes, it is a function because each x-value corresponds to exactly one y-value.