SOLUTION: x^2+(y-1)^2=64 findin domain and range

Algebra.Com
Question 758079: x^2+(y-1)^2=64 findin domain and range

Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
Try solving for y.

(y-1)^2=64-x^2
Two separate functions together: and
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 .

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

RELATED QUESTIONS

range and domain of y=1/x^2 (answered by lynnlo)
domain and range of x^2 + y^2 ≤... (answered by stanbon)
what is the range and domain of {{{y=1/2... (answered by stanbon)
domain and range of f(x) = (x-1)^2 -2 (answered by stanbon)
Find the domain and range of the function:... (answered by fractalier)
Give the domain and range of the relation. Y=(x-1)^2+1 (answered by lwsshak3)
find domain and range for y=... (answered by Edwin McCravy)
What is the domain and range for... (answered by ikleyn)
Find the domain and range y=x^2+6x+7 (answered by Fombitz)