The even coefficient of odd function is equal to 0, and the odd coefficient of even function is equal to 0,
One variable multiple power function:
f(X)=a(0)+a(1)×X+a(2)×X²+a(3)×X³+…… +a(n)×X^n
1. If f (x) is an odd function, the coefficients a (0), a (2), a (4) It's all zero
2. If f (x) is an even function, the coefficients a (1), a (3), a (5) It's all zero