Question

Given the function hG) = -x²+3x+9determine the average rate ofchange over the interval x=-2 & X=3

Answer 1

The average rate of change is 20 over that interval. [-2,3]

1) h(x) =x²+3x+9 [-2, 3]

h(-2) = (-2)²+3(-2)+9

h(-2) = 4+6+9

h(-2)=7

h(3) =(3)² +3(3) +9

h(3) =9 +9 +9

h(3)= 27

The average rate of change =

27-7/3-2 = 20/1 = 20

So Average rate of change over the interval [-2,3] is 20