See Examples 1, 2, 4 , and 5 as you do Exercise 50.The number of minutes of daylight in Wa...

See Examples 1, 2, 4 , and 5 as you do Exercise 50.

The number of minutes of daylight in Washington, DC, can be modeled by the function

where x represents the number of days of the year, starting on January 1. Find the number of minutes of daylight on

(a) day 32.

(b) day 90.

(c) day 200.

(d) day 270.

(e) Graph g (x).

(f) On what day is the number of minutes of daylight the greatest?

Example 1

Graph the following function:

Example 2

Graph the function

Example 3

Figure 3.12, on the following page, shows the median sales prices (in thousands of dollars) of new privately owned one−family houses by region of the United States (northeast, midwest, south, and west) from the years 2005 to 2011.

Example 4

Figure 3.13 is the graph of the function f whose rule is f(x) = average interest rate on a 30−year fixed−rate mortgage for a new home in year x.