Practice and Problem-Solving Exercises

A Practice

See Problem 1.

Graph each set of points. Which model is most appropriate for each set?

6. ( − 2 , − 3 ) , ( − 1 , 0 ) , ( 0 , 1 ) , ( 1 , 0 ) , ( 2 , − 3 ) open negative 2 comma negative 3 close comma open negative 1 comma 0 close comma open 0 comma 1 close comma open 1 comma 0 close comma open 2 comma negative 3 close
7. ( − 2 , − 8 ) , ( 0 , − 4 ) , ( 3 , 2 ) , ( 5 , 6 ) open negative 2 comma negative 8 close comma open 0 comma negative 4 close comma open 3 comma 2 close comma open 5 comma 6 close
8. ( − 3 , 6 ) , ( − 1 , 0 ) , ( 0 , − 1 ) , ( 1 , − 1.5 ) open negative 3 comma 6 close comma open negative 1 comma 0 close comma open 0 comma negative 1 close comma open 1 comma negative 1.5 close
9. ( − 2 , 5 ) , ( − 1 , − 1 ) , ( 0 , − 3 ) , ( 1 , − 1 ) , ( 2 , 5 ) open negative 2 comma 5 close comma open negative 1 comma negative 1 close comma open 0 comma negative 3 close comma open 1 comma negative 1 close comma open 2 comma 5 close
10. ( − 1 , − 5 2 3 ) , ( 0 , − 5 ) , ( 2 , 3 ) , ( 3 , 27 ) open negative 1 comma negative , 5 , and 2 thirds , close comma open 0 comma negative 5 close comma open 2 comma 3 close comma open 3 comma 27 close
11. ( − 3 , 8 ) , ( − 1 , 6 ) , ( 0 , 5 ) , ( 2 , 3 ) , ( 3 , 2 ) open negative 3 comma 8 close comma open negative 1 comma 6 close comma open 0 comma 5 close comma open 2 comma 3 close comma open 3 comma 2 close

See Problem 2.

Which type of function best models the data in each table? Use differences or ratios.

12. x	y
    0	0
    1	1.5
    2	6
    3	13.5
    4	24

13. x	y
    0	− 5 negative 5
    1	− 3 negative 3
    2	− 1 negative 1
    3	1
    4	3

14. x	y
    0	1
    1	1.2
    2	1.44
    3	1.728
    4	2.0736

See Problem 3.

Which type of function best models the data in each table? Write an equation to model the data.

15. x	y
    0	0
    1	2.8
    2	11.2
    3	25.2
    4	44.8

16. x	y
    0	5
    1	2
    2	0.8
    3	0.32
    4	0.128

17. x	y
    0	2
    1	1.5
    2	1
    3	0.5
    4	0

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