Algebra II CP
Section 8-1 and 8-2 Review
Identify each function as modeling either exponential growth or exponential decay. What percent of increase or decrease does the function model?
1. 2. 3. *Growth *Decay *Growth
*60% *60% *20%
4. 5. 6.
*Decay *Decay *Growth
*33.3% *80% *200%
Graph each function. Identify the horizontal asymptote.
7. 8.
X / Y-6 / .125
-5 / .25
-4 / .5
-3 / 1
-2 / 2
-1 / 4
0 / 8
X / Y
-1 / 1
0 / 0
1 / -.5
2 / -.75
3 / -.875
4 / -.9375
9. A new truck that sells for $29,000 depreciates 12% per year. Write a function that models the value of the truck. Find the value of the truck after 7 years.
10. The bear population increases at a rate of 2% per year. There are 1573 bear this year. Write a function that models the bear population. How many bears with there be in 10 years?
11. The population of an endangered bird is decreasing at a rate of 0.75% per year. There are currently about 200,000 of these birds. Write a function that models the bird population. How many birds will there be in 100 years?
12. The value of a car decreases at a rate of 15% per year. After 5 years the car was worth $12,000. What was the original value of the car?
13. If $20,000 is continuously compounded at a rate of 3.75%, how much is in the account after 2 years?
14. If $5000 is continuously compounded at a rate of 6.9%, how much is in the account after 30 years?
15. Your parents wanted to have a college fund ready for you when you graduated from high school of $40,000. How much would they have had to invest when you were born into an account compounded continuously at a rate of 3%?
16. Hg-197 is used in kidney scans. It has a half-life of 64.128 h. Write the exponential decay function for a 12-mg sample. Find the amount remaining after 72 hours.
17. Sr-85 is used in bone scans. It has a half-life of 64.9 days. Write the exponential decay function for an 8-mg sample. Find the amount remaining after 100 days.
18. You buy a new motorcycle for $18,000. After 5 years, it was valued at $10,628.82. What is the rate of depreciation? Write an exponential model that represents this depreciation. What would the motorcycle be worth after 10 years?
19. In 2000, the rent on an apartment was $800 per month. In 2002, the rent increased to $882 per month. Write an exponential function that models the cost of rent x years after 2000. What would the rent have been in 2012?
Write an exponential function of the form whose graph passes through the given points.
20. 21.
Using the given parent function , write the new function using the given translations.
22. left 4 units, up 3 units, reflected on x-axis 23. right 8 units, up 2 units
24. right 6 units, down 7 units, reflected on x-axis 25. left 5 units, down 1 unit
Section 8-1, 8-2 Review Page 1 of 4