See Examples 1, 2, 4 , and 5 as you do Exercise 48.The Alabama state income tax for a sing...

See Examples 1, 2, 4 , and 5 as you do Exercise 48.

The Alabama state income tax for a single person in 2013 was determined by the rule

where x is the person’s taxable income in dollars. Graph the function T (x) for taxable incomes between 0 and $5000.

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.