We're hanging out in the first octant. That does make it easier. There is no secret. You just have to figure it out a piece at a time. For starters, the definition of the y-limits seems to be the trickiest, so we may wish to do that last and cut it down to just numbers, rather than functions.
Here's my first attempt.
Really, the y-limits were the hardest to determine, but it was only a quick 2D algebra problem.