Question

Use the formula f(b)−f(a)b−a
to calculate the average rate of change over the interval [−2,0]
given the function table for f(x)=x2+6x+8
. Express your answer as an integer.

This table shows the values of the function f(x) for given values of x.
x f(x)

−3
−1

−2
0
−1
3
0 8
(1 point)
The average rate of change is
.

Answer 1

Using (f(b)-f(a))/(b-a) with a = -2 and b = 0:
(f(0) − f(−2)) / (0 − (−2)) = (8 − 0) / 2 = 4.

The average rate of change is 4.