ariannawindsor
ariannawindsor ariannawindsor
  • 23-05-2019
  • Mathematics
contestada

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 even or odd C Odd D Even class=

Respuesta :

lublana
lublana lublana
  • 23-05-2019

Answer:

D. Even

Step-by-step explanation:

Given function is [tex]f\left(x\right)=-2x^4+3x^2[/tex].

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.

[tex]f\left(x\right)=-2x^4+3x^2[/tex]

[tex]f\left(-x\right)=-2(-x)^4+3(-x)^2[/tex]

[tex]f\left(-x\right)=-2x^4+3x^2[/tex]

[tex]f\left(-x\right)=f\left(x\right)[/tex]

Hence given function is an Even function.

So the correct choice is D. Even.

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