Piecewise Functions #5

A continuous piecewise function has no holes, no gaps, and is drawn without lifting your pencil. A discontinuous piecewise function is the exact opposite and has an end. The absolute value function has two pieces: below zero (-x) and from 0 onwards (x). For this type of piecewise function, once you graph the first side of it, you know the absolute value side, because it is a reflection from the first half of the graph. Given the title "piecewise," a graph can be in multiple pieces and not be connected at all! The greatest integer function (aka the floor function), has an infinite number of pieces and looks like steps or stairs when graphed. The pattern is continuous.