The figure below shows the rate, , in thousands of algae per hour, at which a population of algae is growing, where is in hours.

graph of a rate function that is a cubic spline through the points (-3, 3), (-3, 0), (-3, -1), (-3, -1), (-3, 0), (-3, 2), and (3, 2).
(Note that the graph passes through integer coordinate points.)

(a)
Estimate the average value of the rate over the interval to .
average value = (thousands of algae/hr)

(b)
Estimate the total change in the population over the interval to .
total change = (thousands of algae).

You can earn partial credit on this problem.