Question

what are the domain and range of this relation? image of coordinate plane with points domain: {-5, -2, 0} range: {-4, -2, 0, 2} domain: {-5, -2, -1} range: {-5, -4, -2, 2} domain: {-5, -2, 0} range: {-5, -4, -2, 2} domain: {-5, -2, -1} range: {-4, -2, 0, 2}

Explanation:

Step1: Identify x - coordinates (domain)

The points on the graph have x - coordinates (from left to right): - 5, - 2, - 1. So the domain is the set of these x - values: $\{-5, - 2, - 1\}$.

Step2: Identify y - coordinates (range)

The y - coordinates of the points are: - 4, - 2, 0, 2. So the range is the set of these y - values: $\{-4, - 2, 0, 2\}$.

Looking at the options, the one with domain $\{-5, - 2, - 1\}$ and range $\{-4, - 2, 0, 2\}$ is the correct one.

Answer:

domain: $\{-5, - 2, - 1\}$, range: $\{-4, - 2, 0, 2\}$ (the option: domain: $\{-5, - 2, - 1\}$, range: $\{-4, - 2, 0, 2\}$)