Paper is the enemy of trial and error. With Desmos, you can tweak a function fifty times in a minute. Drag sliders, change conditions, swap piece order—it’s all undoable. The only risk is accidentally refreshing the page and losing your masterpiece. Save often, my friend.
Also, you can share a link. Send your piecewise function to a friend without describing it in awkward hand gestures. They click, they see the insanity. It’s the modern equivalent of pulling out a folded graph from your pocket.