Question

Question #71e9b

Answer 1

Average rate of change = `(Deltaf(x))/(Deltax`

Explanation:

`=(f(8)-f(5))/(8-5)`

`=(-1-2)/3=(-3)/3=-1`

For the instantaneous change rate we need to differentiate and use the value `x=5`:

`f'(x)=-2x+12`

`f'(5)=-2*5+12=2`
graph{-x^2+12x-33 [-1.11, 14.69, -2.365, 5.535]}