The correct answer is b. The domain is {5, 6, 7}, the range is {-3, -2, 0, 4}, and the relation is a function.
To determine the domain and range of the given relation and whether it is a function, let's examine the provided sets of points:
(5, -3), (6, -2), (6, 0), (7, 4)
- **Domain (D):** The x-values of the points, which are {5, 6, 6, 7}. The duplicates are typically considered once, so the domain is {5, 6, 7}.
- **Range (R):** The y-values of the points, which are {-3, -2, 0, 4}.
Now, let's match this with the answer choices:
a. Incorrect. The domain and range are not correctly matched.
b. Correct. The domain is {5, 6, 7}, and the range is {-3, -2, 0, 4}. This represents a function.
c. Incorrect. The domain is not correctly listed.
d. Incorrect. The domain and range are not correctly matched.
Therefore, the correct answer is b. The domain is {5, 6, 7}, the range is {-3, -2, 0, 4}, and the relation is a function.