8.1 – 8.4 Quiz Review
Algebra 2
Name _____________________
Assignment: G6
Graph the following functions and determine the domain and range of the function. Also,
determine whether each function represents exponential growth or decay.
x
1 x
5
x
1. y  50.7 
2. y   4 
3. y  0.5  
3
4
Growth / Decay
D = ______
Growth / Decay
R = ______
4. y  23
x 1
3
Growth / Decay
D = ______
Growth / Decay
D = ______
1
5. y  4 
4
R = ______
D = ______
2
6. y  32 
x 3
Growth / Decay
R = ______
D = ______
R = ______
x2
2
Growth / Decay
R = ______
D = ______
R = ______
Without graphing, tell whether the graph is growth or decay . Identify the growth or decay
factor
x
x3
1
2
x 1
7. f x   2  3
8. f  x   4   1
9. f  x   2   3
2
3
Growth / Decay
Growth / Decay
Growth / Decay
Growth/Decay factor:_____
Growth/Decay factor:______
10. f x   7
Growth / Decay
5
11. f  x   2 
2
Growth / Decay
Growth/Decay factor:_____
Growth/Decay factor:______
x2
5
x 1
2
Growth/Decay factor:____
3
12. f x   4 
2
Growth / Decay
x2

3
2
Growth/Decay factor:____
For 13-15, use the following information.
You deposit $5000 in an account that earns 3% annual interest. Find the balance after two years if
the interest is compounded with the given frequency. Round answers to the nearest cent.
13. annually
14. quarterly
15. monthly
For 16-17, use the following information.
From 1990 to 2000, the population increased by 2.35% each year.
The population in 1990 was 15,982,378.
16. Write a model giving the population P of Florida t years after 1990.
17. Estimate the population in 2010.
For 18-20, use the following information.
You buy a new car for $22, 500. The value of the car decreases by 25% each year.
18. Write a model giving the car’s value V (in dollars) after t years.
19. What is the value of the car after three years?
20. What is the value of the car after five years?
21. Suppose you find a snowmobile for sale on the internet for $2500. It is 5 years old and the value
of the snowmobile has decreased in value by 8% each year. How much was the snowmobile
originally worth?
Rewrite the equation in exponential form.
22. log 2 4  2
23. log 6 36  2
25. log 4 64  3
26. log 8 2 
24. log 1000  3
1
3
27. log 6
1
 2
36
Write each equation in logarithmic form.
29. 5 2 
28. 73  343
32. 9  3
31. 10  10000
Evaluate without a calculator.
34. 4log4 9
35. log 7 7 5
45.
log 4 x 
33. 54  625
36. log 81 3
1
39. log 3
3
1
42. log 9  
 81 
30. 4 2  8
1
2
4
38. log 9 81
3
1
25
40. log 4 4
43. log 1000
1
2
46.
log b 9  2
2
3
37. log 13 169
41. log 8 1
1
44. log 2  
 16 
Graph the function and fill in the missing information.
47. f x  log 2 x
48. f x   log 2 x  2
V.A.:______
x
y
49. f x  log 2 x  3  4
V.A.:______
x
y
V.A.:______
x
y
D:______
D:______
D:______
R:______
R:______
R:______
Transformations:
Transformations:
Transformations: