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).

Start

Other exercises on: racines fonctions

Please take note that WIMS pages are interactively generated; they are not ordinary HTML files. They must be used interactively ONLINE. It is useless for you to gather them through a robot program.

Description: find the root of a function by successive tests. This is the main site of WIMS (WWW Interactive Multipurpose Server): interactive exercises, online calculators and plotters, mathematical recreation and games

Keywords: wims, mathematics, mathematical, math, maths, interactive mathematics, interactive math, interactive maths, mathematic, online, calculator, graphing, exercise, exercice, puzzle, calculus, K-12, algebra, mathématique, interactive, interactive mathematics, interactive mathematical, interactive math, interactive maths, mathematical education, enseignement mathématique, mathematics teaching, teaching mathematics, algebra, geometry, calculus, function, curve, surface, graphing, virtual class, virtual classes, virtual classroom, virtual classrooms, interactive documents, interactive document, analysis, roots, functions