Question 758079
Try solving for y.


(y-1)^2=64-x^2
Two separate functions together: {{{y=1+sqrt(64-x^2)}}} and {{{y=1-sqrt(64-x^2)}}}

and you can consider where y is bounded and what is x allowed to be... fine..
but you could also use graphical knowledge about this circle.


Using graphical knowledge, the center is at (0,1) and the radius is 8 units.


The circle has a range set of 1-8 to 1+8, or y is {{{-7<=y<=9}}}.


The domain is for the upper semicircle and for the lower semicircle, actually for TWO functions, those listed above when solved for y.  The domain is the set of points {{{-8<=x<=8}}}