y=ax^5+bx^3+cx-2,当x=-2时,y=6时;求当x=2时,y的值

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y=ax^5+bx^3+cx-2,当x=-2时,y=6时;求当x=2时,y的值
y=ax^5+bx^3+cx-2,当x=-2时,y=6时;求当x=2时,y的值

y=ax^5+bx^3+cx-2,当x=-2时,y=6时;求当x=2时,y的值
y=ax^5+bx^3+cx-2,
当x=-2时,y=6时;
y=a2^5+b2^3+2c-2=6
a2^5+b2^3+2c=8
求当x=2时
y=ax^5+bx^3+cx-2
=-a2^5-b2^3-2c-2
=-(a2^5+b2^3+2c)-2
=-8-2
=-10

6=-32a-8b-2c-2
当x=2时
y=32a+8b+2c-2=-8-2=-10

x=-2,y=a(-2)^5+b(-2)^3+(-2)c-2=-32a-8b-2c-2=6
32a+8b+2c=-8
x=2,y=32a+8b+2c-2=-8-2=-10

y=ax^5+bx^3+cx-2
有条件可知:
g(x)=ax^5+bx^3+cx是奇函数。
所以:
y=f(-2)=g(-2)-2=6
g(-2)=8
=》g(2)=-8
y=f(2)=g(2)-2=-8-2=-10

x=-2时 ax^5+bx^3+cx=6+2=8
X=2时 ax^5+bx^3+cx=-8
所以y=-8-2=-10