document.write( "Question 268847: What is the domain and range of F(x,y)= √(16-x^2-16y^2 ) \n" ); document.write( "
Algebra.Com's Answer #197019 by Edwin McCravy(20056)\"\" \"About 
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What is the domain and range of \"%22F%28x%2Cy%29%22=+sqrt%2816-x%5E2-16y%5E2+%29\".
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document.write( "That is the equation of a hemisphere in the four upper octants.  \r\n" );
document.write( "Its domain is the set of points in or on the circle in the xy-plane \r\n" );
document.write( "with center at the origin and radius \"sqrt%2816%29\" or 4, that is, \r\n" );
document.write( "the domain is this circular disk: \r\n" );
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document.write( "{ \"%22%28x%2Cy%2C0%29%22\"\"%22%7C%22\"\"x%5E2%2By%5E2%3C=16\"}\r\n" );
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document.write( "The range is the set of z-values\r\n" );
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document.write( "{ \"z\"\"%22%7C%22\"\"0%3C=z%3C=4\"} \r\n" );
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document.write( "which can also be written in interval notation as \r\n" );
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document.write( "\"%22%5B0%2C4%5D%22\"\r\n" );
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document.write( "Edwin
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