(02.01 HC) The total amount of rainfall, in centimeters, as a function of time, in days, is modeled by the function f, where g is a differentiable function. The data in the table gives values of 3(t] at selected values of t. I')' E for 25:4 3 514 am for 6 t t 8 10 12 14 g(t) 2.25 2.05 1.75 1.45 Part A: What is the average rate of change of the amount of rainfall from day 8 to day 14, according to function f? [5 points) Part B: Use the data in the table to approximate f '(9). Show your work. {5 points) Part C: Is fa continuous function from 2 s t s 14? Explain. [10 points) Part D: Find f '(6) using the limit denition of the derivative. Show your work and explain its meaning. (10 points)