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odd. It is a polynomial with only odd powers of x.
A polynomial with only odd powers of x is always an odd function.
A polynomial with only even powers of x is always an even function.
(A constant term is considered an even power).
That is true ONLY for polynomial functions. For other kinds of
functions you must test by substituting (-x) for x, and after
simplifying, the function is the same, then it's even. If it
is the same except multiplied by -1 it is an odd function.
Edwin