Question

The graph of a function g is shown below. Use the graph of the function to find its average rate of change from x = - 6 to x = 2 Simplify your answer as much as possible .

Answer 1

The average rate of change of a function between the values x=a and x=b is:

$\frac{g(b)-g(a)}{b-a}$

In this case a=-6 and b=2; from the grapg we notice that g(-6)=-1 and that g(2)=-1; plugging these values we have:

$\frac{-1-(-1)}{2-(-6)}=\frac{-1+1}{2+6}=\frac{0}{8}=0$

Therefore, the average rate of change is 0