Question

These tables represent a quadratic function with a vertex at (0, -1). What isthe average rate of change for the interval from x = 8 to x = 9?yXOInterval-11O to 1-21 to 22.-5Average rateof change-111-2-311-2-511-2-74]-2-91]-23-102 to 33 to 44-1754 to 5-265 to 66-37-11O A. -17B. -82C. -65D. -2

Answer 1

To calculate the average rate of change, we use the following formula:

`A=(f(x_2)-f(x_1))/(x_2-x_1)`

Where f(x) can be seeing also as y. In the given table, we dont' have points x = 8 and x = 9, so we need to calculate them. Howevere, the second table can help if this.

It shows that the difference between the average rage of change is -2. It stops at "5 to 6", be we can continue from there.

If "5 to 6" is -11, and the difference to the next is -2, we can add it to get "6 to 7", so we get -11 -2 = -13. And we continue to get "7 to 8" and, finally "8 to 9":

"7 to 8": -13 -2 = -15

"8 to 9": -15 -2 = -17

So