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 when he finished the study the plant was approximately 11.26 cm. what is a reasonable domain? what does the y intercept of the function represent? what is the average rate if change from f(n) n=2 to n=6 and what does it represent?

What is a reasonable domain?
 A reasonable domain for this function in this case will be given by all n> 0 so that the height of the plant is a positive amount in cm.
What does the and intercept of the function represent?
 The intercept with the y-axis in this case is zero. This means that the plant on day zero has not yet started to grow.
 What is the average rate if change from f (n) n = 2 to n = 6 and what does it represent?
 the table for this case is given by
 n = 2 3 4 5 6
 f (n) = 16.8 25.2 33.6 42 50.4
 the average rate is 33.6 which means that from day two until day 6 the tree grows an average of 33.6 cm.