To determine the range of the relation of centimeters as a function of inches, we need to look at the given table which shows the conversion from inches to centimeters.
The table provides the following pairs:
- 2 inches corresponds to [tex]\(5.08\)[/tex] centimeters
- 4 inches corresponds to [tex]\(10.16\)[/tex] centimeters
- 7 inches corresponds to [tex]\(17.78\)[/tex] centimeters
- 10 inches corresponds to [tex]\(25.4\)[/tex] centimeters
- 13 inches corresponds to [tex]\(33.02\)[/tex] centimeters
In this context, the range of a function consists of all possible [tex]\(y\)[/tex]-values (centimeters) that correspond to the given [tex]\(x\)[/tex]-values (inches).
From the table, the [tex]\(y\)[/tex]-values (centimeters) are:
[tex]\[ 5.08, 10.16, 17.78, 25.4, 33.02 \][/tex]
Thus, the range of the relation, which is the set of all these [tex]\(y\)[/tex]-values, is:
[tex]\[ \{5.08, 10.16, 17.78, 25.4, 33.02\} \][/tex]
Therefore, the range of the relation of centimeters as a function of inches is:
[tex]\[ \{5.08, 10.16, 17.78, 25.4, 33.02\} \][/tex]
