Which statements are true for the functions g(x) = x^2 and h(x) = –x^2 ? check all that apply. a.for any value of x, g(x) will always be greater than h(x).b. for any value of x, h(x) will always be greater than g(x).c. g(x) > h(x) for x = -1. d. g(x) < h(x) for x = 3. e. for positive values of x, g(x) > h(x). f. for negative values of x, g(x) > h(x)

C, E, F

Step-by-step explanation:

The range of the function is , the range of the function is

This means that for any value of x, the value of is always greater or equal to the value of (the values are equal at x=0).

So, options A and B are false, because at x=0 the values are equal and h(x) cannot be greater than g(x)

Options C, E and F are true, because for all non-zero x, g(x)>h(x).

Option D is false (the reason is the same as for option B)