Use the graph representing bacteria decay to estimate the domain of the function and solve for the average rate of change across the domain.

The domain of a function is the set of values of the independent variable for which a function is defined. The domain is located along the x-axis where the graph is defined from the starting point to the endpoint.

From the graph, we can see that:

Also from the graph, we can observe that the values of x start from x = 0 to x = 18.

Thus the domain of the function is

The formula for the average rate of change on a given interval is as follows:

Because the domain of the function is [0, 18], we prepare:

And now, let us solve for the average rate of change across the domain.

Note that the y-values change down 3.33 units in thousands every time the x-values change 1 unit in minutes, at intervals of the domain.

We conclude that from t = 0 to t = 18 (in minutes), every 1 minute as many as 3.33 thousand bacteria decay.

Keywords: use, the graph, representing, bacteria decay, to estimate, the domain of the function, and, solve, the average rate of change, axis, horizontal, vertical, intervals, minutes, thousand, 0, 18, 60, -3.33

ian gonna lie that is way to much