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Which characteristic is correct for the function?

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

Which characteristic is correct for the function? A. Both even and odd B. Neither-example-1
User Atif Ali
by
6.8k points

1 Answer

2 votes

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.

User Alec Pojidaev
by
6.7k points