71c3a0…: “Against a bad solution”

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Consider $F(x,y) = e^{x^2+y^2}$ .

The domain is a part of for which $\answer {-\infty } < x < \answer {\infty }\quad \text {and}\quad \answer {-\infty } < y < \answer {\infty }$
The range is a part of for which $\answer {1} \leq z < \answer {\infty }$