Function "f" is even if and only if "f(-x) = f(x)" for all "x".
Function "f" is odd if and only if "f(-x) = -f(x)" for all "x".
For given function:
"f(-x) = 2(-x)^3 - (-x) = -2x^3 + x = -(2x^3-x) = -f(x)"
Answer: function is odd.
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