Final answer:
The correct domain and range of the given set of points are Domain: [-5,-4,-2,0,1] and Range: [1,3,4], as they consist of the distinct x-values and y-values of the points respectively. The correct answer is option c.
Step-by-step explanation:
The student's question is about finding the domain and range of a given set of points. To solve this, we assess the x-values for the domain and the y-values for the range.
The points given are (-5,4), (-4,1), (-2,1), (0,4), and (1,3). The domain consists of the x-values of these points, which are -5, -4, -2, 0, and 1. The range consists of the y-values, which are 4, 1, 1, 4, and 3. Therefore, the domain is the set of all x-values, and the range is the set of all y-values without repetition.
The correct answer is C) Domain: [-5,-4,-2,0,1], Range: [1,3,4]. Unlike intervals, which include all numbers between two endpoints, the domain and range here are just sets of the distinct values presented in the ordered pairs.