Question

what are the domain and range of this function?
domain: {-5, -3, -1, 0, 3}
range: {-4, -3, -2, 1, 5}
domain: {-5, -3, -1, 0, 3}
range: {-4, -3, -2, 2, 5}
domain: {-5, -3, -1, 3}
range: {-4, -3, -2, 1, 5}
domain: {-5, -3, -1, 3}
range: {-4, -3, -2, 2, 5}

Explanation:

Step1: Identify x - coordinates (domain)

Find all x - values of the plotted points. The points are at \(x=-5, - 3, - 1,0,3\). So the domain is the set of these x - values: \(\{-5,-3,-1,0,3\}\).

Step2: Identify y - coordinates (range)

Find all y - values of the plotted points. The y - values of the points are \(y = - 4,-3,-2,1,5\). So the range is the set of these y - values: \(\{-4,-3,-2,1,5\}\).

Answer:

domain: \(\{-5, - 3, - 1, 0, 3\}\)
range: \(\{-4, - 3, - 2, 1, 5\}\) (corresponding to the first option among the given choices)