Question

what are the domain and range of this function?
graph of a coordinate plane with several points plotted: (-4, 3), (-3, 0), (0, -5), (1, 2), (4, -2), (5, 1)

1. domain: {-5, -4, -3, 2, 4, 5}

range: {-5, -3, -2, 1, 2, 3}

1. domain: {-4, -3, 0, 1, 4, 5}

range: {-5, -3, -2, 1, 2, 3}

1. domain: {-5, -4, -3, 2, 4, 5}

range: {-5, -2, 0, 1, 2, 3}

1. domain: {-4, -3, 0, 1, 4, 5}

range: {-5, -2, 0, 1, 2, 3}

Explanation:

Step1: Identify x - coordinates (domain)

The points on the graph have x - coordinates (from left to right): - 4, - 3, 0, 1, 4, 5. So the domain is the set of these x - values: \(\{-4, - 3, 0, 1, 4, 5\}\).

Step2: Identify y - coordinates (range)

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

Answer:

B. domain: \(\{-4, - 3, 0, 1, 4, 5\}\)
range: \(\{-5, - 3, - 2, 1, 2, 3\}\)