You can’t do much with an equation in calculus if it isn’t a function. You could cut up a challenging function into smaller, function-like pieces (called piecewise functions), but in essence, calculus only works properly with functions. If you don’t perform a vertical line test before...
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...
How to find the limit of functions in calculus. Step by step examples, videos and short definitions in plain English. Calculus made clear!