Piecewise-defined functions

This is an experimental applet for constructing piecewise-linear functions. The graph consists of three connected line segments, which can be adjusted by dragging the endpoints. The formula for the function is displayed in the bottom right corner.

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Multiplication of Inequalities

When we multiply both sides of an inequality by a negative number, the direction of the inequality is reversed, but the direction is preserved when we multiply both sides by a positive number. Why does this happen?


You can use this dynamic worksheet to explore multiplication of inequalities. The values of x, y, and z are changed by dragging the points on the number lines.

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)