Which characteristic is correct for the function? A. Both even and odd B. Neither even or odd C. Odd D. Even

Question

asked Oct 13, 2020 167k views

1 Answer

Alec Pojidaev · Answer 1 · 2020-10-20T15:25:56+0000

Answer:

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.