Question

Which characteristic is correct for the function f(x)=−2x4+3x2 ?

Answer 1

The correct option is 3. The function f(x) is even.

Explanation:

The given function is

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

A function is called an even function if

`f(-x)=f(x)`

A function is called an odd function if

`f(-x)=-f(x)`

Substitute x=-x in the given function.

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

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

`f(-x)=f(x)`

Function f(x) is an even function.

Therefore option 3 is correct.

Answer 2

when graphed, it is symmetrical about the Y axis, which  makes it even.