Question

The average rate of change of f from 2 to 3

Answer 1

For a function of
`f`, the average rate of change can be found as follows:

`ARC=(f(x_(2))-f(x_(1)))/(x_(2)-x_(1))`

So, this problem asks for the Average Rate of Change of
`f` from
`x_(1)=2` to
`x_(2)=3`. In this way, we need to find
`f(x_(1)) \ and \ f(x_(2))`. As you can see above, we have the graph of
`f(x)`, so we can find these values. Thus, from the graph:

`f(x_(1))=4 \\ f(x_(2))=1`

Therefore:

`ARC=(1-4)/(3-2) \\ \\ \therefore \boxed{ARC=-3}`