Which statements are true for the functions g(x) = x2 and h(x) = –x2 ? Check all that apply.

For any nonzero x, x² is positive and −x² is negative, so g(x) is greater than h(x). This makes A true, and it also means g(x) > h(x) for both positive and negative x, so E and F are true. At x = −1, g(−1) = 1 and h(−1) = −1, so C is true. At x = 3, g(3) = 9 and h(3) = −9, so D is false; B reverses the correct comparison and is false.

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