Name _________________________________________________________ Date _________
3.1
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3.3
Review Worksheet
In Exercises 1 and 4, determine whether the relation is a function. Explain.
1.
2. {(0, 1), (5, 6), (7, 9)}
3.
4.
In Exercises 5 – 7, does the table, graph or equation represent a linear or nonlinear function? Explain.
5.
6.
7.
6  2 x  3 y  8x
5
In Exercises 8 and 9, evaluate the function when x = -3, 0, and 5.
8. f(x) = x + 8
9. g(x) = 4 – 3x
In Exercises 10 and 11, find the value of x so that the function has the given value.
10. k(x) = 7x; k(x) = 49
11. r(x) = -5x – 1; r(x) = 19
In Exercises 12 and 13, find the value of x so that f  x   7.
12.
13.
14. Let ct  be the number of customers in a department store t hours after 8 A.M. Explain the meaning of each statement.
a. c0  10
b. c6  c7
c. c 4  c3
In Exercises 15 and 16, graph the linear function using an input/output table.
15. g(x) = -2x – 3
2
16. h(x) = x + 4
3
17. The function y = 10x + 100 represents the amount y (in dollars) of money in your bank account after you babysit
for x hours.
a. Identify the independent and dependent variables.
b. You babysit for a maximum of 4 hours. Find the domain and range of the function.
18. The function y = 60 – 8x represents the amount y (in dollars) of money you have after buying x movie tickets.
a. Find the domain of the function. Is the domain discrete or continuous? Explain.
b. Graph the function using its domain.
19. The function C  x  29 x  54.5 represents the cost (in dollars) of cable for x months, including the $54.50
installation fee.
a. How much would you have spent on cable after 6 months?
b. How many months of cable service can you have for $344.50?