Determine algebraically

Determine algebraically whether the given function is even, odd, or neither. And why?

g(x)=7x^2-4

I just want to make sure that I have the answer correctly.

if f(–x) = f(x), then the function is even
if f(–x) = –f(x) , then the function is odd
so in this case:
g(-x) = 7(-x)^2 - 4
= 7x^2 - 4 = g(x)
hence the function is even.

Even because the end behavior is even... The first exponent is even