function-like pieces (calledpiecewise functions), but in essence,calculus only works properly with functions. If you don’t perform a vertical line test before doing some calculus, then your solutions can be misleading or just plain wrong. ...
As the definition has three pieces, this is also a type ofpiecewise function.It’s only true that the absolute value function will hit (0,0) for this very specific case. Many functions you will come across in calculus will differ in where on the coordinate plane they appear. For example...