Analyze the relation below. \( \{(2,-3),(4,-6),(6,-8),(8,-8)\} \) Select the correct statement regarding the relation. The relation represents a function because all values of the domain are unique. The relation does not represent a function because all values of the domain are unique. The relation represents a function because all values of the range are unique.

To determine whether the given relation represents a function, we need to analyze the pairs in the relation: \( \{(2,-3),(4,-6),(6,-8),(8,-8)\} \). A relation is considered a function if every input (or domain value) is associated with exactly one output (or range value). This means that no two pairs can have the same first element (the input). Let's look at the domain values (the first elements of each pair): - The domain values are: \( 2, 4, 6, 8 \). All of these values are unique, meaning that each input corresponds to a single output. Now, let's look at the range values (the second elements of each pair): - The range values are: \( -3, -6, -8, -8 \). Here, we see that the value \( -8 \) appears twice, but this does not affect the function status because the same output can be associated with different inputs. Since all values of the domain are unique, we can conclude that the relation does represent a function. Now, let's evaluate the statements provided: 1. **The relation represents a function because all values of the domain are unique.** - This statement is correct. 2. **The relation does not represent a function because all values of the domain are unique.** - This statement is incorrect. 3. **The relation represents a function because all values of the range are unique.** - This statement is incorrect because the range values are not all unique. Therefore, the correct statement regarding the relation is: **The relation represents a function because all values of the domain are unique.**