To find the range of the given relation, we need to identify all the second elements (y-values) from each ordered pair in the provided set of points.
Given the set of points:
[tex]\[
\{(5,2), (7,6), (9,10), (11,13)\}
\][/tex]
Here are the steps to find the range:
1. Extract the y-values from each ordered pair:
- From [tex]\((5,2)\)[/tex], the y-value is [tex]\(2\)[/tex].
- From [tex]\((7,6)\)[/tex], the y-value is [tex]\(6\)[/tex].
- From [tex]\((9,10)\)[/tex], the y-value is [tex]\(10\)[/tex].
- From [tex]\((11,13)\)[/tex], the y-value is [tex]\(13\)[/tex].
2. List all the y-values we have extracted:
[tex]\[
2, 6, 10, 13
\][/tex]
3. Note that all y-values are unique and there are no duplicates.
4. The range of the relation is therefore the list of these y-values.
Thus, the range of the relation [tex]\(\{(5,2), (7,6), (9,10), (11,13)\}\)[/tex] is:
[tex]\[
2, 6, 10, 13
\][/tex]
