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:

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

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:

$ARC=\frac{1-4}{3-2} \\ \\ \therefore \boxed{ARC=-3}$