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

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.
g(x) < h(x) for x = 3.
For positive values of x, g(x) > h(x).
For negative values of x, g(x) > h(x).

Question

jadsmith329 jadsmith329

27-07-2022
Mathematics

contestada

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

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.
g(x) < h(x) for x = 3.
For positive values of x, g(x) > h(x).
For negative values of x, g(x) > h(x).

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adioabiola adioabiola · Answer 1 · 2022-07-27T17:02:03+02:00

The answer choice which is correct regarding the two functions is; For any value of x, g(x) will always be greater than h(x).

Which statement is true for the functions?

It follows from the task content that the functions given are; g(x) = x² and h(x) = –x².

On this note, since all values of x return a positive value for g(x) due to the square, it follows that the corresponding value of h(x) is always lesser.