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If the function / satisfies the relation...

If the function / satisfies the relation `f(x+y)+f(x-y)=2f(x),f(y)AAx , y in R and f(0)!=0` , then `(a)` `f(x) is an even function` `(b)` `f(x) is an odd function` `(c)` `If` f(2)=a ,then f(-2)=a` `(d)` `If` f(4)=b ,then f(-4)=-b`

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