Which characteristic is correct for the function f(x)=−3x^4+7x^2 ?

- neither even nor odd
- both even and odd
- even
- odd

adore.nuk
Feb 6, 2018

#1**+1 **

f(x) = -3(x)^4 + 7x^2

If even....f(-x) = f(x)

f(-x) = -3(-x)^4 + 7(-x)^2 = -3(x)^4 + 7(x)^2 which is true

To show that it is odd, we must have that -f(x) = f(x) .....so....

-f(x) = - [ -3x^4 + 7x^2 ] = 3x^4 - 7x^2 ....not equal to f(x)

Thus...it is even

P.S. Even functions are symmetric about the y axis

Look at the graph, here : https://www.desmos.com/calculator/uooawffq1f

CPhill
Feb 6, 2018