Réponse :
bonjour
A ( - 2 ) = 3 et B ( 3 ) = 5
( 5 - 3 ) / ( 3 + 2 ) = 2 /5
ax = 2 x / 5
A ( - 2 ) = 3
- 2 * 2/5 + b = 3
- 4 /5 + b = 3
b = 3 + 4 /5 = 19/5 = 3.8
f (x) = 2 x /5 + 3.8
d'où B ( 3) = 3 * 2/5 + 3.8 = 6/5 + 3.8 = 5
A( 5 ) = 2/3 et B ( 7 ) = 5/3
( 5/3 - 2 /3 ) / ( 7 - 5 ) = 3 /3 / 2 = 1 /2
ax = x /2
A ( 5) = 2/3
5 * 1/2 + b = 2/3
5/2 + b = 2/3
b = 2/3 - 5/2 = 4/6 - 15/6 = - 11 /6
f (x) = x /2 - 11 /6
d'où B ( 7) = 7 * 1/2 - 11/6 = 7/2 - 11/6 = 21/6 -11/6 = 10/6 = 5 /3
Explications étape par étape :