Go to the left-most point on the graph. That point is (-3,-2). The x coordinate of this point is x = -3.
So the smallest x can be is x = -3. The variable x can't be any smaller. It can be larger than -3.
Since x can equal -3 or be larger, this makes the domain to be [tex]x \ge -3[/tex] (x is greater than or equal to -3)
In interval notation, you would write [tex][-3, \infty)[/tex]
The square bracket tells you to include the endpoint -3 while the curved parenthesis tells you to exclude infinity as an endpoint. Plus or minus infinity is always associated with a curved parenthesis.
In short, the answer is choice D