We have a function (x) with unknown formula, defined on the interval [0,10]. We only know that (x) is continuous, monotonous, with ; therefore it has exactly one root in [0,10].
The objective of the exercise is to find this root with a required precision, that is, an x such that
To do this, you may test values of on different values of .
And your score is related to the number of the tests you have made (you will be disqualified after 13 tests).
Other exercises on: racines fonctionsThe most recent version
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Description: find the root of a function by successive tests. interactive exercises, online calculators and plotters, mathematical recreation and games
Keywords: interactive mathematics, interactive math, server side interactivity, analysis, roots, functions