What Is a Piecewise Function Grapher?

piecewise-function-grapher Credit: Jeff Greenberg/Photolibrary/Getty Images

A piecewise function grapher is an application that produces graphs for given piecewise functions. The calculator TI-83/84 has the piecewise function-graphing feature, which is used in DOT mode to avoid connecting two pieces that should not be connected.

To draw the graph, each part of the piecewise function is entered, starting with the first piece and the first condition. For example, x2 + 11, x < 0 are entered first, then 11 - 4x, 0 ≤ x ≤ 2 and finally x2 – 3x + 5, x < 2. The graph draws the line for x2 + 11 only for values of x that are less than zero. Conditions for the other pieces are fulfilled as well.