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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).

Respuesta :

Answer:

3. g(x) > h(x) for x = -1

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

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

Step-by-step explanation:

We have the functions, [tex]g(x) = x^2[/tex] and [tex]h(x) = -x^2[/tex].

From the graph plotted below, we see that,

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

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

Moreover, we have,

                  [tex]g(x) = x^2[/tex]               [tex]h(x) = -x^2[/tex].

x= -1                 g(x)= 1                                       h(x)= -1          

x= 3                 g(x)= 9                                       h(x)= -9

So, we get, g(x) > h(x) for x = -1 holds.

Thus, the options that are correct are 3, 5 and 6.

Ver imagen wagonbelleville

Answer:

C,E and F on edge

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