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

For positive values of x, g (x) > h (x).

For negative values of x, g (x) > h (x).

Step-by-step explanation:

For any value of x g (x) is always greater than h (x) and for any value of x, h (x) will always be greater than g (x) are not true.

The given function is:

g (x) = x^2 and h (x) = - x^2

x=0

g (0) = (0) ^2 = 0

h (0) = - (0) ^2 = 0

Now check the condition for x = - 1

put x = -1 in the given functions.

g (x) = x^2

g (-1) = (-1) ^2 = 1

h (x) = - x^2

h (-1) = - (-1) ^2 = - 1

g (x) >h (x)

Now take a positive value of x = 3

Put the value in the given functions:

g (3) = (3) ^2 = 9

h (3) = - (3) ^2 = - 9

g (x) >h (x)

For positive values of x, g (x) > h (x).

For negative values of x, g (x) > h (x) ...