We need to use the formula to find the average rate of change between a and b:
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
In this case, since we are asked for the average rate of change from x=-4 to x=0
[tex]\begin{gathered} a=-4 \\ b=0 \end{gathered}[/tex]
Now we find f(a) which is the value of the function at a. In this case, we need f(-4):
[tex]f(a)=f(-4)=1[/tex]
We do the same to find f(b), which in this case is f(0), so we look for the value of the y-axis (the function) at x=0:
[tex]f(b)=f(0)=-1[/tex]
Now we substitute in the initial formula for the average rate of change:
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