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

[tex] \frac{6-0}{0+2} = \frac{6}{2} = [/tex]
3

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

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lidaralbany lidaralbany · Answer 2 · 2019-07-20T16:36:57+02:00

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:

[tex]Average\ Rate\ of\ change=\dfrac{f(b)-f(a)}{b-a}[/tex]

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:

[tex]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[/tex]

Hence, the answer is: 3