Question

What is the average rate of change for this quadratic function for the interval from x = 2 to x = 4? O A. -12 B. 12 C. -6 O D. 6​

Answer 1

D. 6.

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We have been given graph of a function. We are asked to find the average rate of change of our given function for the interval from $x=-4$ to $x=-2$.

We will use formula $Average$ $rate$ $of$ $change$ $=\frac{f(b)-f(a)}{b-a}$ to solve our given problem.

$Average$ $rate$ $of$ $change$ $=\frac{f(-2)-f(-4)}{-2--4}$

$Average$ $rate$ $of$ $change$ $=\frac{6--6}{-2+4}$

$Average$ $rate$ $of$ $change$ $=\frac{6+6}{2}$

$Average$ $rate$ $of$ $change$ $=\frac{12}{2}$

$Average$ $rate$ $of$ $change$ $=6$

Therefore, the average rate of change for our given function on given interval would be 6 and option B is the correct choice.