Question

Calculate the average rate of change for the given graph from x = –2 to x = 0 and select the correct answer below.

Answer 1

$\frac{6-0}{0+2} = \frac{6}{2} =$
3

The equation you use to find the average rate of change, or slope, is $\frac{y_{2}-y_{1}}{x_{2}-y_{1}}$

Answer 2

Answer:

the average rate of change for the given graph from x = -2 to x = 0  is:

                                    3

Step-by-step explanation:

We know that the average rate of the graph of the function f(x) form x=a to x=b is calculated by the formula:

$Average\ Rate\ of\ change=\dfrac{f(b)-f(a)}{b-a}$

Here we have:

a= -2 and  b=0

Also, from the graph of the function we have:

f(a)=0  and  f(b)=6

Hence, the average rate of change of the graph from x= -2 to x=0 is:

$Average\ Rate\ of\ change=\dfrac{6-0}{0-(-2)}\\\\i.e.\\\\Average\ Rate\ of\ change=\dfrac{6}{2}\\\\i.e.\\\\Average\ Rate\ of\ change=3$

              Hence, the answer is:  3