Question

Which statements are true for the functions g(x) = x and h(x) = - ? Check all that apply. O For any value of x, g(x) will always be greater than h(x). O For any value of x, h(x) will always be greater than g(x). O g(x) > h(x) for x= -1. O glx) < h(x) for x = 3. OFor positive values of x, g(x) > h(x). O For negative values of x, g(x) > h(x). )

Answer 1

the option (1) is correct.

If we have any value of x, the g(x) will be higher than the h(x), because the h(x) value always come with negative sign.

The option (2) is incorrect.

It is the same as the first option.

The option (3) is correct.

Because squre of the negative value will always come with positve sign.

The option (4) is incorrect.

It is the same as the third option.

The option (5) and option (6) both is correct.

Thus, the correct option is (1), (3), (5), and (6).