Visualizing Domain and Range with Circles

Using the sliders below, transform the circle (x-h)2 + (y-k)2 = r2 with center at (h,k) and radius r to find the domain and range of the following circles.

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Journal Entry:
Use the results from question 5 to describe the process for finding the domain and range of a circle given its center and radius. 

Duke, 11/12/06, Created with GeoGebra

 1. (x-4)2 + y2 = 32



2.  (x+5)2 + (y-4)2 = 22



3.  (x-6)2 + (y-2)2 = 12



4.  x2 + (y-3)2 = 42



5.  (x-h)2 + (y-k)2 = r2