Question

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

Answer 1

Answer:

C,E and F on edge

Answer 2

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, $g(x) = x^2$ and $h(x) = -x^2$.

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,

                  $g(x) = x^2$               $h(x) = -x^2$.

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.