已知f(x)=ax^5+bx^3+cx+7,且f(-7)=17,求f(7)

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已知f(x)=ax^5+bx^3+cx+7,且f(-7)=17,求f(7)
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已知f(x)=ax^5+bx^3+cx+7,且f(-7)=17,求f(7)
已知f(x)=ax^5+bx^3+cx+7,且f(-7)=17,求f(7)

已知f(x)=ax^5+bx^3+cx+7,且f(-7)=17,求f(7)
令g(x)=ax^5+bx^3+cx
g(x)是奇函数所以g(x)=-g(-x)
f(x)=g(x)+7
f(-7)=g(-7)+7=17
g(-7)=10
g(7)=-g(-7)=-10
f(7)=g(7)+7=-10+7=-3