Question

HELP PLSS!!

Let f(x)=x2+3x+2.

What is the average rate of change of f(x) from 3 to 6?




−112

12

−12

112

Answer 1

12

Explanation:

Answer 2

12

Explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

`(f(b)-f(a))/(b-a)`

Here [ a, b ] = [ 3, 6 ] , then

f(b) = f(6) = 6² + 3(6) + 2 = 36 + 18 + 2 = 56

f(a) = f(3) = 3² + 3(3) + 2 = 9 + 9 + 2 = 20 , then

average rate of change =
`(56-20)/(6-3)` =
`(36)/(3)` = 12