The function f(x) = –2/7(5/3)^x is reflected over the y-axis to create g(x). which points represent ordered pairs on g(x)? check all that apply. (–7, –10.206) (–2.5, –4.474) (0, –1.773) (0.5, –0.221) (4, –0.017) (9, –0.003)

f(x) reflect over the y-axis. So, the values of x becomes negative but the values of y are same that is, 7, 2.5, 0, -0.5, -4, -9 so the points represent ordered pairs on g(x) will be: (-7,-10.206), (0.5,-0.221), and (9,-0.003).

Given :

Given x-values: -7, -2.5, 0, 0.5, 4, 9.

Now, f(x) reflect over the y-axis. So, the values of x becomes negative but the values of y are same that is, 7, 2.5, 0, -0.5, -4, -9.

Now, create the table of f(x).

x                7           2.5           0        -0.5        -4         -9

f(x)     -10.206    -1.025    -0.286   -0.221  -0.037  -0.003

Now, for g(x) the value of x becomes negative and the value of y remains unchanged.

Therefore, the points that represent ordered pairs on g(x) are: (-7,-10.206), (-2.5,-1.025), (0,-0.286), (0.5,-0.221), (4,-0.037), and (9,-0.003).

So, the correct options are A), D), and F).

For more information, refer the link given below:

link