Question

Which statements are true for the functions g(x) = x^2 and h(x) = -x2? Check all that apply.​

Answer 1

C, E, and F

Explanation:

A. False. g(0) = h(0)

B. False. g(1) > h(1)

C. True.

g(-1) = (-1)² = 1

h(-1) = -(-1)² = -1

g(-1) > h(-1)

D. False

g(3) = 9

h(3) = -9

g(3) > h(3)

E. True

If x>0, g(x) > 0 and h(x) < 0

g(x) > h(x)

F. True

If x<0, g(x) > 0 and h(x) < 0

g(x) > h(x)

Answer 2

The first option (as x^2 will always be positive for a real value of x), the third option (g(x) is 1, and h(x) is -1), the fifth and sixth options (g(x) is positive for all integer values of x.)