ANSWER
See below
EXPLANATION
The given functions are:
[tex]g(x) = {x}^{2} [/tex]
and
[tex]h(x) = - {x}^{2} [/tex]
The following statements are true;
h(x) is the reflection of g(x) in the x-axis.
g(x) opens upwards while h(x) opens downwards
Both functions have their vertex and intercepts at the origin.
The x-axis is a tangent to both functions at x=0.
g(x) has a minimum point
h(x) has a maximum point.
Answer:
For any value of x, g(x) will always be greater than h(x).
For any value of x, h(x) will always be greater than g(x).
g(x) > h(x) for x = -1. TRUE
g(x) < h(x) for x = 3.
For positive values of x, g(x) > h(x). TRUE
For negative values of x, g(x) > h(x). TRUE
Step-by-step explanation:
answer on edge
