What is the range of the function $x^2 + y^2 = 9$ ?

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Answer 1 · 2018-01-04T05:06:55

The domain is $[-3,3]$ and range too is $[-3,3]$ .

While domain depends on values that $x$ can take in $f(x,y)=0$ , range depends on values $y$ can take in $f(x,y)$ .

In $x^2+y^2=9$ , as $x^2$ and $y^2$ both are positive and hence cannot take values beyond $9$ .=,

the domain is $[-3,3]$ and range too is $[-3,3]$ .

What is the range of the function x^2 + y^2 = 9x^2 + y^2 = 9?