Use the equation of Exercise 43 to approximate the answers to the following questions about the temperatures in Fairbanks, Alaska, shown in the figure in Exercise 43. Assume that the year has 365 days.
(a) What are the highest and lowest mean daily temperatures?
(b) What is the average of the highest and lowest mean daily temperatures? Why is this average the vertical shift of the function?

Data in Exercise 43

Find the 

(a) Amplitude
(b) Period 

(c) Horizontal shift  

(d) Vertical shift of the model used in the figure below 

(e) Then write the equation for the model

Normal mean air temperature for Fairbanks, Alaska, plotted as data points (red). The approximating sine function ∫(x) is drawn in blue.

Transcribed Image Text:

(°F) Temperature 60 40 20 0 -20 Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Jan Feb Mar