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State the range of the relation. (Enter your answers as a comma-separated list.)

[tex]\[ \{(5,2), (7,6), (9,10), (11,13)\} \][/tex]

Sagot :

GinnyAnsweridn
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]
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