Question

determine whether the relation is a function. give the domain and the range for the relation.
{(1,1),(5,2),(7,7)}
...
is this a function?
no
yes
the domain is {1,5,7}.
(use a comma to separate answers as needed.)
the range is {□}.
(use a comma to separate answers as needed.)

Explanation:

Step1: Recall the definition of range

The range of a relation (set of ordered pairs) is the set of all second elements (y - values) in the ordered pairs.

Step2: Identify the second elements

For the relation \(\{(1,1),(5,2),(7,7)\}\), the second elements of the ordered pairs are \(1\), \(2\), and \(7\).

Step3: Form the range set

We collect these second elements into a set, so the range is the set containing \(1\), \(2\), and \(7\).

Answer:

\(\{1,2,7\}\)