A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant in f(n), in cm, after n days: f(n)=12(1.03)^n

Part A: When the scientist concluded his study, the height of the plant was approximately 16.13 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=3 to n=10 and what does it represent?