Question

Find the domain and range of the function `f` defined by `f(x,y)=(3x^2y^2)/(x^2+y^4)` ?

Answer 1

See below.

Explanation:

`f(x,y)` is continuous in `(0,0)` and `f(0,0)=0` because

`0 le (3x^2y^2)/(x^2+y^4) le 3 y^2` hence

range is `{0}uuRR^+`

and domain `RR^2`