Calculate the average rate of change of a function over a given interval using its...
Check the final answer first, then review the worked steps.
Problem
Calculate the average rate of change of a function over a given interval using its graph.
Step-by-step solution
The average rate of change is calculated as $\frac{f(x_2) - f(x_1)}{x_2 - x_1}$. From the graph, $f(1) = 3$ and $f(-1) = -9$. So, the average rate of change is $\frac{3 - (-9)}{1 - (-1)} = \frac{12}{2} = 6$.
Answer
6