# Investigate the parity of the function y = -x ^ 4 + 8x ^ 2

October 7, 2021 | education

| The function is even if f (x) = f (-x). Let’s check if this equality holds for our function “y”:

f (x) = -x ^ 4 + 8 * x ^ 2;

f (-x) = – (- x) ^ 4 + 8 * (-x) ^ 2;

f (-x) = -x ^ 4 + 8 * x ^ 2;

Obviously, f (x) = f (-x), therefore, the function is even.

Answer: the function is even.

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