find the domain and range of the relation. use interval notation where appropriate. express numbers as…

Explanation:

Step1: Identify domain

The domain is the set of all x - values of the relation. Looking at the ellipse on the graph, the left - most x - value is approximately $x=-2$ and the right - most x - value is approximately $x = 2$.

Step2: Write domain in interval notation

The domain includes all values between and including these two x - values. So the domain is $[-2,2]$.

Step3: Identify range

The range is the set of all y - values of the relation. The lowest y - value is approximately $y=-2$ and the highest y - value is approximately $y = 0$.

Step4: Write range in interval notation

The range includes all values between and including these two y - values. So the range is $[-2,0]$.

Answer:

Domain: $[-2,2]$ Range: $[-2,0]$