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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