Question

Verify algebraically if the function is even, odd, or neither. Number 10

Answer 1

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:

`\begin{gathered} f(-x)=(\left(-x\right)^6)/(4)-5\mleft(-x\mright)^2 \\ =(x^6)/(4)-5x^2 \end{gathered}`

Finally we obtain that f(-x) is equal to f(x), then this mean that the function is even.