Answer
Domain: -4 ≤ x ≤ 2
Range: 2 ≤ y ≤ 6
Work Step by Step
The point $(-4,6)$ is on the graph of the function. $x=-4$ is the $x$-coordinate of the leftmost point of the graph.
The point $(2,3)$ is on the graph of the function. $x=2$ is the $x$-coordinate of the rightmost point of the graph.
Therefore the domain of the function is $$-4 ≤ x ≤ 2.$$ The point $(0,2)$ is on the graph of the function. $y=2$ is the $y$-coordinate of the lowest point of the graph.
The point $(-4,6)$ is on the graph of the function. $y=6$ is the $y$-coordinate of the highest point of the graph.
The range of the function is $$2 ≤ y ≤ 6.$$
