Algebra II
Chapter 8 Exam – B
Name:________________
Date:_____________
Period:_______
A new car that sells for $22,400 depreciates 17% each year.
1. Write a function that models the value of the car.
1.____________(+2)
2. Find the value of the car after 4 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.)
3
f ( x)  6 
 10 
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)  3(2) x1  2
Domain: ____________
Range: _____________
5. Graph the function. Make sure to have parent function table and final table. Clearly label at
least five points, the asymptote, domain, and range.(+5)
y  log 3 x
Domain: __________
Range: ___________
6. Write 2 7  128 as a logarithmic function
6.____________(+1)
7. Evaluate log 3 81
7.____________(+1)
Write as a single logarithm
8. 5 log n  5 log 2
9. 3 log x  2 log y  4 log m
8.____________(+2)
9.____________(+3)
Expand the logarithm
c6 x4
10. log
y
ad 
11. log
3 5
y
10.____________(+2)
11.____________(+3)
Solve each equation. Round answers to the nearest hundredth if needed.
12. log( 3x  4)  3
13. 2 log 4 x  log 4 8  3
12.____________(+2)
13.____________(+3)
14. 3 5 x  23
15. 14 x 1  36
14.____________(+2)
15.____________(+3)
16. log 3 x  log 3 4 x  2
17. e 2 x  22
16.____________(+3)
17.____________(+2)
18. A continuous compounded account starts with $6,100 in principal. The annual interest rate
is 2.9%. What is the balance after 8 years?
18.____________(+3)
BONUS QUESTIONS:
Expand the logarithm.
 4 x 3 xy 7 


20. log 

 3 xy 2 


19.________________________________________________(+2)
Solve equation.
21. 2 log 3


5  x  log 3 3  x  1
20.____________(+3)