Question

Which characteristic is correct for the function?

Answer 1

Answer:

D. Even

Step-by-step 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.