Final answer:
The average rate of change between two points on a graph is calculated as the change in y-values divided by the change in x-values. Without the specific graph and data points, we cannot provide the numerical answer for the average rate of change from (x = -1) to (x = 12).
Step-by-step explanation:
The average rate of change of a function can be determined using two points on the graph. The formula to calculate the average rate of change is Δy / Δx, which is the change in the y-value (output) divided by the change in the x-value (input)
Unfortunately, without the actual graph or specific data points, I cannot provide a numerical answer. To find the average rate of change from (x = -1) to (x = 12), you would need the corresponding y-values for x = -1 and x = 12 from the graph. You would then subtract the y-value at x = -1 from the y-value at x = 12, and divide that change in y by the change in x, which is 12 - (-1) = 13.
In the context provided, the average rate of change can also relate to scenarios such as chemical reactions or economic data, where understanding change over time is critical.