Determine the region in which the function is continuous. Explain your answer. f$($x$,$ y$)=$ x$^2$y$/$x$^2+$ y$^2,$if$($x$,$ y$)(0,0)0,$if$($x$,$ y$)=(0,0)$ The function is continuous at all points in the xy$-$plane except at $(0,0)$ since the limit exists and not equal to f$(0,0).$The function is continuous in the region where y $>$ x since the denominator must be positive.$$The function is continuous at all points in the xy$-$plane except where x $=$ y since this point is not in the domain.The function is continuous in the entire xy$-$plane since the limit exists and is equal to f$(0,0).$The function is continuous in the region where y $>$x since the denominator must be positive.