Question

Consider the functionWhat is the average rate of change of e) from two010

Answer 1

We need to use the formula to find the average rate of change between a and b:

`(f(b)-f(a))/(b-a)`

In this case, since we are asked for the average rate of change from x=-4 to x=0

`\begin{gathered} a=-4 \\ b=0 \end{gathered}`

Now we find f(a) which is the value of the function at a. In this case, we need f(-4):

`f(a)=f(-4)=1`

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:

`f(b)=f(0)=-1`

Now we substitute in the initial formula for the average rate of change: