The average rate of change of f(x) over the interval [0,3] is greater than the average rate of change of the exponential growth function g(x)=20(1.5)^x over the same interval.
The average rate of change of a function over an interval is determined by calculating the slope of the line connecting the two endpoints of the interval. For the exponential growth function g(x)=20(1.5)^x, the average rate of change over the interval [0,3] involves evaluating the function at the endpoints and finding the slope of the line connecting these points.
On the other hand, for the given exponential growth function f(x) shown in the graph, the same process is applied to determine its average rate of change over the interval [0,3]. The statement suggests that the average rate of change of f(x) is greater than that of g(x) over this interval, indicating that the values of f(x) are increasing at a faster pace compared to the exponential growth modeled by g(x) during this specific range of x.