The number of miles driven each day for a five-day trip let


1. Determine the domain and range of the relation.

{(Callie, A), (Steve, D), (Aaron, C), (Elton, B), (Macy, C), (Avery, B)}

2. Determine the domain and range of the relation.

{(Bob, 1), ( Matt, 2), (Mary, 3), (Pam, 4)} 

3. Evaluate the expression x3 – 2x2 – x + 9 for the indicated value of x.

(a)  x = –3          (b)  x = 3          (c)  x = –1

4. True or False:  The following relation is a function.

The number of miles driven each day for a five-day trip. Let an ordered pair be given in the form (day, miles). 

5. True or False:  The following relation is a function.

{(Jose, 10), (Luigi, 8), (Estella, 1), (Lars, 9)}

6. True or False:  The following relation, given as a table of values, is a function.

           x             y

           –5            –30

           6               –27

           –5            11

           10            9

7. True or False:  The following relation is a function.

The revenue for each of 5 days in one particular week is:

{( Monday, $1525), (Tuesday, $1150), (Wednesday, $1770), (Thursday, $1560), (Friday, $2165)}

10. Use the table to find P(30).

   x   P(x)

  30   2500

  35   3000

  40   4000

  50   3800

11. Use the table to find j(0).

   x   j(x)

  -2   5

  -1   0

   0   4

   1   7

 13. Let f(x) =  –3x + 1 and g(x) = –x2 – 2x + 9.  Find (f + g)(x).

14. Let f(x) = –5x2 + 7x – 8 and g(x) = –12x + 4.  Find (f – g)(x).

15. Let f(x) =  x + 1 and g(x) = –x2 – x + 1.  Find  (f • g)(x).

16. Let f(x) =  6 and g(x) = 5x + 3.  Find (f  g)(x).

21. Let f(x) =  x + 1 and g(x) = x2 – 1.  Find  (3).

22. Rewrite the function h(x) = 4x2 as a composite of functions  f(x) = x2 and  g(x) = 2x.

24. The total cost in hundreds of dollars of producing x items per hour in an 8-hour shift is given by the function C(x) = 6x.  Suppose that the number of items produced per hour for an 8-hour period is a function of the time t after an 8-hour shift begins and is given by x(t) = –t2 + 7t + 8,  .  Write a function f(t) to represent the hourly cost in hundreds of dollars at time t.

25. The area A of a circle as a function of the radius r is given by A(r) =  . Suppose that the radius of a circle increases as a function of time and is given by r(t) = 0.9t, where the radius r is length in meters and t is time in seconds.  Find and interpret  f(t) = (A ? r)(t).

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Mathematics: The number of miles driven each day for a five-day trip let
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