How do you determine if $f(x)=x^6-9x^4+5x^2$ is an even or odd function?

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Answer 1 · 2016-03-19T19:30:24

The function is a polynomial hence its domain and range is the set of real numbers.

We can easily see that $f(-x)=f(x)$ hence the function is even.

How do you determine if f(x)=x^6-9x^4+5x^2f(x)=x^6-9x^4+5x^2 is an even or odd function?