Use a calculator to work these exercises. (See Examples 1 and 2.)The gross domestic produc...

Use a calculator to work these exercises. (See Examples 1 and 2.)

The gross domestic product (GDP) of the United States, which measures the overall size of the U.S. economy in trillions of dollars, is approximated by the function

f(x) = −.017x2 + .68x + 9.6,

where x = 0 corresponds to the year 2000. Estimate the GDP in the given years. (Data from: U.S. Bureau of Economic Analysis.)

(a) 2005

(b) 2009

(c) 2011

Example 1

Finance If you were a single person in Connecticut in 2013 with a taxable income of x dollars and x ≤ $500,000 then your state income tax T was determined by the rule

Example 2

Suppose the projected sales (in thousands of dollars) of a small company over the next 10 years are approximated by the function