Question 1189588
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Find the average rate of change of f (x)= =-3x^2 from x= -3 to x= -1.
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<pre>
    the average rate of change = BY THE DEFINITION = {{{(f(-1) - f(-3))/((-1)-(-3))}}}.    (*)


f(-1) = {{{-3*(-1)^2}}} = -3 * 1 = -3;

f(-3) = {{{-3*(-3)^2}}} = -3 * 9 = -27.


THEREFORE

    the average rate of change = {{{((-3) - (-27))/((-1)-(-3))}}} = {{{24/2}}} = 12.    <U>ANSWER</U>
</pre>

Solved, answered and explained.



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