What is the average rate of change of f(x), represented by the table of values, over the interval [-3, 4]? x f(x) -6 27 -3 6 -1 2 0 3 1 6 4 27 a. -6 b. -3 c. 3 d. 6 e. 21

The correct option will be:  C.  3

Step-by-step explanation:

The given table is..........

     -6      -3      -1      0      1      4

 27     6      2      3      6     27

The formula for average rate of change is:   , where is the given interval.

Here the interval is [-3, 4]. So,   and

Now, plugging the values of and into the above formula, we will get........

From the given table, we will get   and

So, the average rate of change will be: