Q:

# What is a piecewise function grapher?

A:

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.

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Credit: Jeff Greenberg Photolibrary Getty Images

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.

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