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kenzadu67
@kenzadu67
January 2021
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Bonsoire vous pouvez m aider svp ??
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trudelmichel
Verified answer
Bonjour,
f(x)=-x^(3)+3x
x=-3 f(-3)=-(-3)^3+3(-3) f(-3)= -(-27)-9 f(-3)=27-9 f(-3)=18
x=-1 f(-1)=-(-1^3)+3(-1) f(-1)= -(-1)-3 f(-1)=1-3 f(-1)=-2
x=1 f(1)= -(1^3)+3(1) f(1)= -1+3 f(1)=2
x=3 f(3)=-(3^3)+3(3) f(3)= -27+9 f(3)=18
MAX f(x)=18
MIN f(x)=-18
si 1≤x≤3 alors f(3)≤f(x)≤f(1)
si x ∈[-3;3] alors f(x)∈[-18;18]
2 votes
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Verified answer
Bonjour,f(x)=-x^(3)+3x
x=-3 f(-3)=-(-3)^3+3(-3) f(-3)= -(-27)-9 f(-3)=27-9 f(-3)=18
x=-1 f(-1)=-(-1^3)+3(-1) f(-1)= -(-1)-3 f(-1)=1-3 f(-1)=-2
x=1 f(1)= -(1^3)+3(1) f(1)= -1+3 f(1)=2
x=3 f(3)=-(3^3)+3(3) f(3)= -27+9 f(3)=18
MAX f(x)=18
MIN f(x)=-18
si 1≤x≤3 alors f(3)≤f(x)≤f(1)
si x ∈[-3;3] alors f(x)∈[-18;18]