Question

Average rate of change from G from x=3 to x=4 is

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, we only need two points to compute this value. So, in this problem we have a table with several points, but the problem establishes that the ARC we need to find is the one between two points, that is, when x=3 and x=4. In this problem,
`g` is the function, so:

`ARC=(g(x_(2))-g(x_(1)))/(x_(2)-x_(1))\\ \\ ARC=(9-8)/(4-3) \\ \\ \therefore \boxed{ARC=1}`