QuestionDetermine if the function $f(x)=x^{5}-7 x$ is even, odd, or neither.

Studdy Solution
Next, let's compare $f(-x)$ with $-f(x)$.
$$-f(x) = -(x^{5} -x) = -x^{5} +x$$$$f(-x) = -x^{5} +x$$We can see that $f(-x)$ is equal to $-f(x)$, so the function is odd.
The function $f(x) = x^{5} -x$ is odd.