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) x1 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)
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