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:

$ARC=\frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}}$

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:

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