Question

What is the average rate of change for this quadratic function for the interval from x= -4 to x= -2

Answer 1

Answer:

B. 6

Step-by-step explanation:

From  -4 to -2, the value is 6. You can draw this on the number line to see how many spaces they are apart from each other. This is assuming that the x values you have given are only one x value apart.

Answer 2

Answer:

B. 6.

Step-by-step explanation:

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

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

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

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

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

$\text{Average rate of change}=6$

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