Question

what are the domain and range of this relation? image of a coordinate grid with points plotted domain: {-4, -3, 1, 2, 3} range: {-3, -1, 1, 2, 4} domain: {-3, -1, 2, 3, 4} range: {-3, -1, 1, 2, 4} domain: {-4, -3, 1, 2, 3} range: {-4, -3, -1, 1, 4} domain: {-3, -1, 2, 3, 4} range: {-4, -3, -1, 1, 4}

Explanation:

Step1: Identify x - coordinates (domain)

First, find the x - coordinates of all the points. The points are at \((-4, - 3)\), \((-3,1)\), \((1, - 4)\), \((2,4)\), \((2,1)\), \((3, - 1)\). Wait, no, looking at the graph, the x - coordinates (domains) are the x - values of each dot. Let's list the x - values: from the points, the x - coordinates are \(-4\) (for the point with y=-3), \(-3\) (for y = 1), \(1\) (for y=-4), \(2\) (for y = 4 and y = 1), \(3\) (for y=-1). So domain is \(\{-4, - 3,1,2,3\}\).

Step2: Identify y - coordinates (range)

Now the y - coordinates (ranges) are the y - values of each dot. The y - values are \(-4\) (x = 1), \(-3\) (x=-4), \(-1\) (x = 3), \(1\) (x=-3 and x = 2), \(4\) (x = 2). So range is \(\{-4, - 3, - 1,1,4\}\).

Answer:

domain: \(\{-4, - 3,1,2,3\}\), range: \(\{-4, - 3, - 1,1,4\}\) (corresponding to the third option in the given choices)