Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 1, is less than or equal to, x, is less than or equal to, 51≤x≤5.
To find the average rate of change of a function over an interval, we need to find the change in the function's values over that interval divided by the change in the input values.
In this case, the change in the function's values over the interval [1,5] is 82 - 4 = 78.
The change in the input values over the interval [1,5] is 5 - 1 = 4.
So the average rate of change is 78/4 = 19.5.
Therefore, the average rate of change of the function over the interval [1,5] is 19.5.