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

16

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

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6-2

64/4

16

Answer 2

D. 16

Explanation:

Average rate of change:
`(f(a) - f(b))/(a-b)`

Simply plug in 6 for a and 2 for b