Answer
domain $[-2,2]$, range $[-4,4]$
Work Step by Step
1. Rewrite the equation as $\frac{x^2}{4}+\frac{y^2}{16}=1$
2. We can identify the equation as an ellipse centered at $(0,0)$ with a vertical major axis and $a=4,b=2$
3. We can find its domain as $[-2,2]$ and range as $[-4,4]$
4. See graph.
