$C(-4,-5), r=6$ . See graph. Domain $[-10,2]$ and Range $[-11,1]$ .
Work Step by Step
Step 1. Given the equation $(x+4)^2+(y+5)^2=36$, compare with the standard form for a circle, we can identify the center and radius of the circle as $C(-4,-5), r=6$ . Step 2. See graph for the equation as shown in the figure. Step 3. Based on the graph, we can identify: Domain $[-10,2]$ and Range $[-11,1]$ .