Content: This page contains an applet illustrating the intermediate value theorem and instructions for its use.


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Analysis for Computer Scientists, Chapter 6


Entering the function

To visualise the intermediate value theorem a (continuous) function must be defined in the field f(x)= (detailed information on the syntax can be found here). In the field Interval an interval must be specified in which the function has a zero. Since the zero is computed by the bisection method the function values at the endpoints must have different signs.


Animation of the intermediate value theorem



After a function and an interval have been entered or any of the examples has been loaded from the combo box Examples, the animation can be started with the button Start. The graph of the function is drawn, evolving from the endpoints until a zero is encountered. In case of multiple zeros the animation converges to one of them. With the slider Speed the speed of the animation is adjusted. In addition, the option Endless animation specifies whether the animation is repeated indefinitely. The button Stop can be used at any time to stop the animation.


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Financially supported by

University of Innsbruck: New Media and Learning Technologies
Austrian Federal Ministry of Education, Science and Research

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