Practice and Problem-Solving Exercises

A Practice

See Problems 1 and 2.

Every year, the Rock and Roll Hall of Fame and Museum inducts legendary musicians and musical acts to the Hall. The table shows the number of inductees for each year.

8. Represent the data using each of the following:
   1. a mapping diagram
   2. ordered pairs
   3. a graph on the coordinate plane

9. What are the domain and range of this relation?

   Rock and Roll Hall of Fame Inductees

   Year	Number of Inductees
   2001	11
   2002	8
   2003	9
   2004	8
   2005	7
   2006	6

   SOURCE: Rock and Roll Hall of Fame

See Problem 3.

Determine whether each relation is a function.

10. 
    Image Long Description
11. 
    Image Long Description
12. 
    Image Long Description
13. { ( 3 , − 9 ) , open 3 comma negative 9 close comma  (11, 21), (121, 34), (34, 1), (23, 45)}

See Problem 4.

Use the vertical-line test to determine whether each graph represents a function.

See Problem 5.

Evaluate each function for the given value of x, and write the input x and output f(x) as an ordered pair.

17. f(x) = 17x + 3 for x = 4 x equals 4
18. f ( x ) = − 2 x + 1 3  for  x = − 5 f , open x close , equals negative . fraction 2 x plus 1 , over 3 end fraction . for , x equals negative 5
19. f ( x ) = 2 x − 33  for  x = 9 f open x close equals 2 x minus 33 , for , x equals 9
20. f ( x ) = − 9 x − 2  for  x = 7 f open x close equals negative 9 x minus 2 , for , x equals 7
21. f ( x ) = 7 3 x − 9  for  x = 3 f open x close equals , 7 thirds , x minus , 9 , for , x equals 3
22. f ( x ) = − 12 x 5  for  x = − 1 f , open x close , equals negative , fraction 12 x , over 5 end fraction . for , x equals negative 1
23. f ( x ) = 11 x − 11  for  x = − 11 f open x close equals 11 x minus 11 , for , x equals negative 11
24. f ( x ) = 2 9 x − 9 2  for  x = 9 f , open x close , equals , 2 ninths , x minus , 9 halves , for , x equals 9

See Problem 6.

Write a function rule to model the cost per month of a long-distance cell phone calling plan. Then evaluate the function for the given number of minutes.

25. Monthly service fee: $4.52

    Rate: $.12 per minute

    Minutes used: 250

26. Monthly service fee: $3.12

    Rate: $.18 per minute

    Minutes used: 175

Table of Contents