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Algebra Difficulty 2.4 Junior Find the answer

If the function f(x)=x3xf(x) = x^3 - x, then the parity of f(x)f(x) is.

A number or a short expression. Spacing and $ signs are ignored.

Solution

Since f(x)=(x)3(x)=x3+x=f(x)f(-x) = (-x)^3 - (-x) = -x^3 + x = -f(x),
it follows that f(x)f(x) is an odd function.
Therefore, the answer is: odd function\boxed{\text{odd function}}.

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Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.