Question

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

Answer 1

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

Explanation:

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]`.