Ah, Calculus teachers love using piecewise functions! They stay home Saturday nights dreaming up new ones... just for you!
If you've loathed them before, no fear. I've got a simple way to keep all the pieces straight.
Let's just dive in and do one:
Each piece must live ONLY in its own neighborhood.
Let's put up a fence, so we don't make any mistakes:
Now, we just need to figure out who the fence owner is...
|Let's graph part