If F(x) + F(−x) = 6, then the function is?
- Odd function
- Even function
- Constant symmetric form
- None of these
Explanation
Odd function: F(-x) = -F(x) → F(x) + F(-x) = 0
Even function: F(-x) = F(x) → F(x) + F(-x) = 2F(x)
Here we have F(x) + F(-x) = 6, a constant
That means the function is symmetric about y = 3
So we call it constant symmetric form.
Last verified on 21-06-2026
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