Practice and Problem-Solving Exercises

A Practice

See Problem 1.

Find a polynomial function whose graph passes through each set of points.

8. ( 0 , 5 )  and  ( 2 , − 13 ) open 0 comma 5 close , and , open 2 comma negative 13 close
9. ( − 2 , − 4 )  and  ( 8 , 1 ) open negative 2 comma negative 4 close , and , open 8 comma 1 close
10. ( − 5 , 14 )  and  ( 1 , − 16 ) open negative 5 comma 14 close , and , open 1 comma negative 16 close
11. ( 7 , 13 ) , ( 10 , − 11 ) ,  and  ( 0 , 4 ) open 7 comma 13 close comma open 10 comma negative 11 close comma , and , open 0 comma 4 close
12. ( − 2 , − 16 ) , ( 3 , 11 ) ,  and  ( 0 , 2 ) open negative 2 comma negative 16 close comma open 3 comma 11 close comma , and , open 0 comma 2 close
13. ( − 1 , 8 ) , ( 5 , − 4 ) ,  and  ( 7 , 8 ) open negative 1 comma 8 close comma open 5 comma negative 4 close comma , and , open 7 comma 8 close
14. ( − 1 , − 15 ) , ( 1 , − 7 ) ,  and  ( 6 , − 22 ) open negative 1 comma negative 15 close comma open 1 comma negative 7 close comma , and , open 6 comma negative 22 close
15. ( − 1 , 9 ) , ( 0 , 6 ) , ( 1 , 5 ) ,  and  ( 2 , 18 ) open negative 1 comma 9 close comma open 0 comma 6 close comma open 1 comma 5 close comma , and , open 2 comma 18 close

See Problems 2 and 3.

For each set of data, compare two models and determine which one best fits the data. Which model seems more likely to represent each set of data over time?

16. U.S. Federal Spending

    Year	Total (billions $)
    1965	630
    1980	1,300
    1995	1,950
    2005	2,650

17. World Population

    Year	Average Growth Rate (%)
    1972	1.96
    1982	1.73
    1992	1.5
    2002	1.22

18. U.S. Homes

    Year	Average Sale Price (thousands $)
    1990	149
    1995	158
    2000	207

19. U.S. Crude Oil and Petroleum

    Month (2008)	Products Supplied (millions of barrels/day)
    2	19.782
    4	19.768
    6	19.553

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