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Algebra Difficulty 2.4 Junior Find the answer
If the function f(x)=x3−x, then the parity of 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),
it follows that f(x) is an odd function.
Therefore, the answer is: odd function.
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