Okay, here we have this:
Considering the provided equation, we are going to analize if the function is even, odd, or neither. So we obtain the following:
Since a function is even if f(-x)=f(x), then we have:
[tex]\begin{gathered} f(-x)=\frac{\left(-x\right)^6}{4}-5\mleft(-x\mright)^2 \\ =\frac{x^6}{4}-5x^2 \end{gathered}[/tex]
Finally we obtain that f(-x) is equal to f(x), then this mean that the function is even.
