Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 6, is less than or equal to, x, is less than or equal to, 186≤x≤18
To find the average rate of change of the function over the given interval, we need to find the change in the value of the function divided by the change in the value of the input variable.
The change in the value of the function is given by f(18) - f(6). From the table, we can see that f(18) = 8 and f(6) = -2, so the change in the value of the function is 8 - (-2) = 10.
The change in the value of the input variable is 18 - 6 = 12.
Therefore, the average rate of change of the function over the interval 6 ≤ x ≤ 18 is 10/12, which can be simplified to 5/6.