Questions: The domain of the relation is -5,-4,-3,-2. (Use a comma to separate answers as needed.) The range of the relation is 0,2,4. (Use a comma to separate answers as needed.) Does the relation represent a function? Choose the correct answer. A. The relation is not a function because there are ordered pairs with -5 as the first element and different second elements. B. The relation is a function because there are no ordered pairs with the same second element and different first elements. C. The relation is a function because there are no ordered pairs with the same first element and different second elements. D. The relation is not a function because there are ordered pairs with 2 as the second element and different first elements.

Solution Steps

To determine if the relation represents a function, we need to check if each element in the domain is associated with exactly one element in the range. Specifically, we need to ensure that no element in the domain maps to more than one element in the range.

The domain of the relation is given as \(\{-5, -4, -3, -2\}\) and the range is given as \(\{0, 2, 4\}\).

The relation is defined by the set of ordered pairs: \[ \{(-5, 0), (-4, 2), (-3, 4), (-2, 2)\} \]

To determine if the relation is a function, we need to check if each element in the domain maps to exactly one element in the range. This means that no element in the domain should map to more than one element in the range.

We examine the ordered pairs:

• \(-5 \rightarrow 0\)
• \(-4 \rightarrow 2\)
• \(-3 \rightarrow 4\)
• \(-2 \rightarrow 2\)

Each element in the domain \(\{-5, -4, -3, -2\}\) maps to exactly one element in the range \(\{0, 2, 4\}\). There are no repeated elements in the domain mapping to different elements in the range.

Final Answer