Concept explainers
Average Monthly Temperature The average monthly temperature (in °F) in San Antonio. Texas, can be modeled by
where x is the month and x = 1 corresponds to January. (Source: World Almanac and Book of Facts.)
(a) Graph f in the window [0. 25] by [40, 90].
(b) Determine the amplitude, period, phase shift, and vertical translation of f.
(c) What is the average monthly temperature for the month of December?
(d) Determine the minimum and maximum average monthly temperatures and the months when they occur.
(e) What would be an approximation for the average annual temperature in San Antonio? How is this related to the vertical translation of the sine
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