Relation- Function- Domain- Range

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input (x) and an output (y).

Front

What is a function?

Back

A function is a special type of relation where each input (x) is associated with exactly one output (y).

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How do you determine if a relation is a function?

Back

A relation is a function if no two ordered pairs have the same first element (x) with different second elements (y).

Front

Given the relation {(0,1), (1,2), (2,3), (3,4)}, what is the domain?

Back

The domain is {0, 1, 2, 3}.

Front

Given the relation {(0,1), (1,2), (2,3), (3,4)}, what is the range?

Back

The range is {1, 2, 3, 4}.

Front

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

Back

The relation {(0,2), (1,3), (4,3), (1,2)} is not a function because the input 1 has two different outputs (2 and 3).

Front

What is the domain of the function defined by the relation {(3,5), (3,7), (0,5), (0,3)}?

Back

The domain is {0, 3}.

Front

What is the range of the function defined by the relation {(3,5), (3,7), (0,5), (0,3)}?

Back

The range is {3, 5, 7}.