Question

Which characteristic is correct for the function?

A. Both even and odd
B. Neither even or odd
C. Odd
D. Even

Answer 1

D. Even

Explanation:

Given function is
`f\left(x\right)=-2x^4+3x^2`.

Now we need to check if the given function is Even/Odd.

we know that if f(-x)=f(x) then function is called Even.

we know that if f(-x)=-f(x) then function is called Odd.

`f\left(x\right)=-2x^4+3x^2`

`f\left(-x\right)=-2(-x)^4+3(-x)^2`

`f\left(-x\right)=-2x^4+3x^2`

`f\left(-x\right)=f\left(x\right)`

Hence given function is an Even function.

So the correct choice is D. Even.