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.

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and activated. (click here to install Java now)

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