Question

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

Answer 1

The person that answered it above me is correct

Explanation:

Answer 2

The correct option will be: C. 3

Explanation:

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

`x :` -6 -3 -1 0 1 4

`f(x) :` 27 6 2 3 6 27

The formula for average rate of change is:
`(f(b)-f(a))/(b-a)` , where
`[a,b]` is the given interval.

Here the interval is [-3, 4]. So,
`a=-3` and
`b=4`

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

`(f(4)-f(-3))/(4-(-3))`

From the given table, we will get
`f(4)=27` and
`f(-3)=6`

So, the average rate of change will be:
`(27-6)/(4-(-3))= (21)/(7)=3`