Question: The total amount of rainfall, in centimeters, as a function of time, in days, is modeled by the function f , where g is a

The total amount of rainfall, in centimeters, as a function of time, in days, is modeled by the functionf, wheregis a differentiable function. The data in the table gives values ofg(t) at selected values oft.

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 functionf? (5 points)

Part B:Use the data in the table to approximatef(9). Show your work. (5 points)

Part C:Isfa continuous function from 2 t 14? Explain. (10 points)

Part D:Findf(6) using the limit definition of the derivative. Show your work and explain its meaning. (10 points)

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