Question

algebraically determine whether the function f(x)=2x^6+5x^4-x^2 is even odd neither

Answer 1

all you need to do is replace x with -x

when its simplified, if the answer is the same as the original function its even

so

\[f(-x) = 2(-x)^6 + 5(-x)^4 - (-x)^2\]

so if f(-x) = f(x) the function is even