SOLUTION: Is the following even odd or neither. F(x)= 3x^5

SOLUTION: Is the following even odd or neither. F(x)= 3x^5 - 8x^3

Question 817061: Is the following even odd or neither.
F(x)= 3x^5 - 8x^3
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!

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

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