Correct answer only ! the table of values represents a polynomial function f(x). how much greater is the average rate of change over the interval [7, 9] than the interval [4, 6] ?

 603

Step-by-step explanation:

Average rate of change is the slope over the given interval.

Interval [7, 9] is between x = 7 and x = 9.  Use the table to see that the coordinates are (7, 1852) and (9, 3878). Then use the slope formula:

Interval [4, 6] is between x = 4 and x = 6.  Use the table to see that the coordinates are (4, 358) and (6, 1178). Then use the slope formula:

Next, find the difference between the slopes above:

  [7, 9] - [4, 6]

=  1013 -  410

=  603