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

`(6-0)/(0+2) = (6)/(2) =`
3

The equation you use to find the average rate of change, or slope, is
`(y_(2)-y_(1))/(x_(2)-y_(1))`

Answer 2

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

3

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=(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=(6-0)/(0-(-2))\\\\i.e.\\\\Average\ Rate\ of\ change=(6)/(2)\\\\i.e.\\\\Average\ Rate\ of\ change=3`

Hence, the answer is: 3