Which statements are true for the functions g(x) = x2 and h(x) = x2? Check all that apply.
Mathematics
aprilvfour
Question
Which statements are true for the functions g(x) = x2 and h(x) = x2? Check all that apply.
2 Answer

1. User Answers kudzordzifrancis
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 xaxis.
g(x) opens upwards while h(x) opens downwards
Both functions have their vertex and intercepts at the origin.
The xaxis is a tangent to both functions at x=0.
g(x) has a minimum point
h(x) has a maximum point.

2. User Answers tinktink1311
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
Stepbystep explanation:
answer on edge