Question 1190001
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Find the average rate of change of f (x)=-x^2+2x+9 from x=-3 to x=1.
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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


    {{{(f(1) - f(-3))/(1 - (-3))}}} = {{{(10 - (-6))/4}}} = {{{16/4}}} = 4.    <U>ANSWER</U>
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Solved.