We have a function (x) with unknown formula, defined on the interval [0,10]. We only know that (x) is continuous, monotonous, with $f(0)\times f(10)<0$; 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

$\mid f(x)\mid <{10}^{-4}$.

To do this, you may test values of $f$ on different values of $x$.

And your score is related to the number of the tests you have made (you will be disqualified after 13 tests).

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Other exercises on: racines fonctions

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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, nice sophia antipolis university, analysis, roots, functions