tvi1.py

Created by hugo37140

Created on February 27, 2022

699 Bytes

les fonctions de reference, affine 
carre, inverse, racine carre, valeurs absolue
expo ... sont continues

toute fonction obtenue par opération
ou composition des fonctions de ref
est continue 

soit f une fonction definit sur l intervalle
de R. 
Si f est continue sur un intervalle 
(a;b) contenu dans I
Si K est un reel compris entre f(a) et f(b)
alors l equation f(x)=k admet au moins une solution 
sur (a;b)

une fonction strictement monotone
Si f est continue et strictement 
monotone sur l intervalle (a;b)
alors pour tout nombre k compris entre
f(a) et f(b) l equation f(x)=k admet 
au moins une seul solution sur (a;b)

si intervalle ouvert pas image de f
mais limite en a et b

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