Given the function defined in the table below, find the average rate of change, in simplest form, of the...

Question

Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 5 ≤ x ≤ 7.

SnapAndSolve AI · Accepted Answer

The average rate of change of a function over an interval [a, b] is given by the formula:

Average Rate of Change = (f(b) - f(a)) / (b - a)

For the interval 5 ≤ x ≤ 7, we have:

Substitute these values into the formula:

Average Rate of Change = (324 - 36) / (7 - 5) = 288 / 2 = 144

Therefore, the average rate of change is 144.

Answer