Final answer:
To find the average rate of change, calculate the change in the function's output divided by the change in the function's input. Match the representations with their respective average rates of change.
Step-by-step explanation:
The question is asking you to match each representation with its respective average rate of change over the interval [0, 3]. To find the average rate of change, you need to calculate the change in the function's output divided by the change in the function's input within the given interval.
For example, if you have a linear function represented by a graph, you can find the average rate of change by calculating the slope of the line connecting the points (0,f(0)) and (3,f(3)). Similarly, for a table of data, you can find the average rate of change by calculating the difference between the output values at 0 and 3, divided by the difference in the corresponding input values. Match the representations with their respective average rates of change based on these calculations.