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