Algebra II
Chapter 8 Exam – A
A new car that sells for $25,300 depreciates 18% each year.
1. Write a function that models the value of the car.
Name:________________
Date:_____________
Period:_______
1.____________(+2)
2. Find the value of the car after 6 years.
2.____________(+1)
3. Does this function represent growth or decay? What is the growth/decay factor?
(Bonus: Find the percent increase or decrease that the function models.)
2
f ( x)  4 
5
x
3.____________(+1)
_________________(+1)
Bonus: ___________(+1/2)
4. Graph the function. Make sure to have parent function table and final table. Clearly label at
least five points, the asymptote on the graph, domain, and range.(+5)
f ( x)  2(3) x1  4
Domain: ____________
Range: _____________
5. Graph the function. Make sure to have parent function table and final table. Clearly label at
least five points, the asymptote on the graph, domain, and range.(+5)
y  log 2 x
Domain: ___________
Range: ____________
6. Write 3 5  243 as a logarithmic function
6.____________(+1)
7. Evaluate log 2 64
7.____________(+1)
Write as a single logarithm
8. 3 log x  2 log 5
9. 4 log x  3 log y  2 log d
8.____________(+2)
9.____________(+3)
Expand the logarithm
x2d 3
10. log
m
( xy 2 ) 3
11. log
m
10.____________(+2)
11.____________(+3)
Solve each equation. Round answers to the nearest hundredth if needed.
12. log( 5 x  3)  2
13. 2 log 3 x  log 3 5  4
12.____________(+2)
13.____________(+3)
14. 6 2 x  41
15. 14 x 1  36
14.____________(+2)
15.____________(+3)
16. log 2 7 x  log 2 x  5
17. e 3 x  12
16.____________(+3)
17.____________(+2)
18. A continuous compounded account starts with $4,500 in principal. The annual interest rate
is 4.3%. What is the balance after 12 years?
18.____________(+3)
BONUS QUESTIONS (Show all work):
Expand the logarithm.
20.
 3 x 4 x 5 y

log 
 4 x2 y






19.________________________________________________ (+2)
Solve equation.
21. log 3 5  x  2 log 3


3  x 1
20.____________(+3)