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Use Desmos when the question hands you the equation. Skip it when you still have to build the equation yourself. Where it wins, where it burns your ninety-five seconds.
Reworking the problem is the weakest check there is: you repeat the same mistake. Five checks that come at the answer from a different direction, in about two minutes.
You do not pick by looking at the function. You pick by asking what you would do last. A five-second test, six worked examples, and the three mistakes that cost marks.
Usually no, but it turns on one rule your school already has. Here is where the line actually sits, and the study habit that decides your grade.