For a function of [tex]f[/tex], the average rate of change can be found as follows:
[tex] ARC=\frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}} [/tex]
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, [tex]g[/tex] is the function, so:
[tex]ARC=\frac{g(x_{2})-g(x_{1})}{x_{2}-x_{1}}\\ \\ ARC=\frac{9-8}{4-3} \\ \\ \therefore \boxed{ARC=1}[/tex]
