Amarine biologist is studying the growth of a particular species of fish. she writes the following equation to show the length of the fish, f(m), in cm, after m months:

f(m) = 4(1.08)m

part a: when the marine biologist concluded her study, the length of the fish was approximately 6.86 cm. what is a reasonable domain to plot the growth function? (4 points)

part b: what does the y-intercept of the graph of the function f(m) represent? (2 points)

part c: what is the average rate of change of the function f(m) from m = 3 to m = 7, and what does it represent? (4 points)