Name: _________________
Date: _________________
Algebra 2 PAP - Unit 8 Review
Graph each function. State each domain, range and asymptotes.
1. f  x  
10
x
2. f  x   
4. f  x  
6
x9
5. f  x  
12
2
x
7
3
x2
3. f  x  
3
x5
6. f  x   
4
8
x4
7. The student council is planting 28 trees for a service project. The number of trees each person plants
depends on the number of student council members.
a. Write a function to represent this situation.
b. Graph the function.
8. Designer Dolls found that its number of Dress-Up Dolls sold, N, varies directly with their advertising
budget, A, and inversely proportional with the price of each doll, P. When $54,00 was spent on advertising
and the price of the doll is $90, then 9,600 units are sold. Determine the number of dolls sold if the amount of
advertising budget is increased to $144,000.
Determine the equations of any vertical or horizontal asymptotes, any intercepts and any values of x for
any holes in the graph of each rational function and graph the function.
9. f x  
3
x 2  4x
12. f  x  
x2
 x  5
2
10. f x  
x2
x 2  6x  8
13. f  x  
x
x 1
11. f x  
14. f x  
x2  9
x 2  5 x  24
x 1
x 2  5x  6
15. If a varies directly as b and b = 18 when a = 27, find a when b = 10.
16. If y varies inversely as x and y = 15 when x = 35, find y when x = -5.
17. If y varies inversely as x and y = -3 when x = 9, find y when x = 81.
18. If y varies jointly as x and z, and x = 8 and z = 3 when y = 72, find y when x = -2 and z = -5
19. If y varies jointly as x and z, and y = 18 when x = 6 and z = 15, find y when x = 12 and z = 4.
20. Lisa’s earnings vary directly with how many hours she babysits. If she earns $68 for 8 hours of babysitting,
find her earnings after 5 hours of babysitting.