Ascientist is studying the growth of a particular species of plant. he writes the following equation to show the height of the plant f(n), in cm, after n days:

f(n) = 8(1.05)n

part a: when the scientist concluded his study, the height of the plant was approximately 11.26 cm. what is a reasonable domain to plot the growth function?

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

part c: what is the average rate of change of the function f(n) from n = 2 to n = 6, and what does it represent?