Question

What is the average rate of change of the function f(x)=2x2+8 over the interval [2, 6]? A 2 B 4 C 12 D 16

Answer 1

Answer:

D. 16

Step-by-step explanation:

Average rate of change: $\frac{f(a) - f(b)}{a-b}$

Simply plug in 6 for a and 2 for b

Answer 2

Answer:

16

Step-by-step explanation:

Average rate of change is

f(6) - f(2)

------------------

6-2

f(6) = 2(6)^2 +8 = 2 *36 +8 = 80

f(2) =  2(2)^2 +8 = 2 *4 +8 = 16

80 - 16

------------------

6-2

64/4

16