How do you determine if f(x)=x3−xx3−4x is an even or odd function?

1 Answer
Matt M.
Jun 5, 2016

f(x) is even.

Explanation:

If a function is odd, then f(−x)=−f(x). If a function is even, then f(−x)=f(x). Plugging in −x into the given function gives

f(−x)=(−x)3−(−x)(−x)3−4(−x)=−(x3−x)−(x3−4x)=f(x)

Hence f(x) is even.

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