SOLUTION: Find the average rate of change of f (x)=-x^2+2x+9 from x=-3 to x=1.

Calculate f(1) and f(-3).


    f(1) = -1^2 + 2*1 + 9 = -1 + 2 + 9 = 10;

    f(-3) = - (-3)^2 + 2*(-3) + 9 = -9 - 6 + 9 = -6.


Now  the average rate of change of  f(x)  from x=-3 to x=1  is


     =  =  = 4.    ANSWER