Advanced Algebra
Name ___________________________
Review for the Exponential Quiz.
State whether the function is exponential growth or decay.
 1  5 
 4  2 
1
4
1. y = 3x
2. y =   6 x
x
3. y     
2
9
x
4. y   
State the y-intercept (as a coordinate) of the exponential function.
2
7
x
6. y  5  3
5. y   
2
3
7. y     9 
x
x
8. y   2  3
Graph the exponential function.
3
4
9. y   4   
x
1
2
x
10. y   
11. y  3  4 
x
Determine what type of function the given equation is; linear, quadratic, exponential or
neither. (#12-19)
12. y  3x  4
13. y  9
16. x  5
2
17. y   
5
14. y  2 x 2  7
15. y  x 5  2 x  3
18. y  x 2
19. y     
x
 2  5 
 7  2 
x
For 20-22: Determine if equation is linear, quadratic, or exponential. Then find regression
equation.
20.
21.
x
2
4
6
8
10
Y
5
6
11
20
33
22.
x
1
2
3
4
5
x
11
13
15
17
19
Y
7
4
1
-2
-5
y
2
8
32
128
512
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Evaluate:
23. 3e2
24.
e4
5
25.
2e3
3e1
26. e + 1
27. Find the amount in a continuously compounded account after 9 years if you open the
account with $600 at 3.45%.
28. Find the amount in a continuously compounded account after 6 months if you open the
account with $220 at 6%.
29. A population of 233,000 grows 1.3% per year for 10 years. What is the population
after 10 years?
30. A new car sells for $22,500 and depreciates 18% each year. What is the car worth 6
years after buying it?
31. An investment of $26,000 increases at a rate of 3% per year. What is the value of the
investment after 25 years?
Describe the shifts of the following exponential functions.
32. f ( x)  3  4 x 1
1
2
33. f ( x )    2 x  3
34. f ( x)  2 x  4  8
35. f ( x) 
1 3

2 4
x 3
 10