We have the following definitions: A function is even if, for each x in the domain of f, f (- x) = f (x) A function is odd if, for each x in the domain of f, f (- x) = - f (x) Let's see the given function: j (x) = x ^ 4-3x ^ 2-4 j (-x) = (- x) ^ 4-3 (-x) ^ 2-4 Rewriting: j (-x) = (x) ^ 4-3 (x) ^ 2-4 j (-x) = j (x) Answer: The function is even
