Which statements are true for the functions g(x) = x^2 and h(x) = -x2? Check all that apply.
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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.)
Answer:
C, E, and F
Step-by-step 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)