The average temperatures for Raleigh are recorded in the table below. Let x = 1 correspond to
January.

a. Write a sinusoidal function of the form f(x) = a sin(b(x - c)) + d to model the data.
b. What is the period of the function? What does it mean in the context of the problem?
c. What is the amplitude of the function? What does it mean in the context of the problem?

2. The table shows the average monthly precipitation, in inches, for San Francisco, CA. Write the model of best fit for the data.