For this function, I plot it. And I show the areas where $F$ take positive and negative values on the graph.
Well, how can I write the set which shows the areas that F be positive and F be negative?
2026-04-14 19:09:50.1776193790
Writing domain set for function F
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For the positive values: $$\{(x,y)\in \mathbb{R}^2: y\geqslant |x|\}\bigcup\{(x,y)\in \mathbb{R}^2: y\leqslant -|x|\}$$ And for the negatives is practically the same.