Given:
The table of values of the function f(x).
To find:
How much greater is the average rate of change over the interval [5, 7] than the interval [2, 4]?
Solution:
The average rate of change of a function f(x) over the interval [a,b] is:
The average rate of change over the interval [5, 7] is:
The average rate of change over the interval [2,4] is:
The difference between the average rate of change over the interval [5, 7] and the interval [2, 4] is:
Therefore, the average rate of change over the interval [5, 7] is 366 more than the interval [2, 4].