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16 June, 02:30

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

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  1. 16 June, 04:56
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    For positive values of x, g (x) > h (x).

    For negative values of x, g (x) > h (x).

    Step-by-step explanation:

    For any value of x g (x) is always greater than h (x) and for any value of x, h (x) will always be greater than g (x) are not true.

    The given function is:

    g (x) = x^2 and h (x) = - x^2

    x=0

    g (0) = (0) ^2 = 0

    h (0) = - (0) ^2 = 0

    Now check the condition for x = - 1

    put x = -1 in the given functions.

    g (x) = x^2

    g (-1) = (-1) ^2 = 1

    h (x) = - x^2

    h (-1) = - (-1) ^2 = - 1

    g (x) >h (x)

    Now take a positive value of x = 3

    Put the value in the given functions:

    g (3) = (3) ^2 = 9

    h (3) = - (3) ^2 = - 9

    g (x) >h (x)

    For positive values of x, g (x) > h (x).

    For negative values of x, g (x) > h (x) ...
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