Exponential Functions Worksheet
ADVERTISEMENT
1
2
3
4UNIT 4B TEST REVIEW: Exponential Functions
!
1. In the standard form of an exponential function, �� = �� ��
:
a. What is ��?
b. What is ��?
c. How do you find �� if you are given the rate (%)?
i. For Growth, �� is:
ii. For Decay, �� is:
d. What does x typically represent in word problems?
2.
Wilma and Walder’s Weaving Wanders bought a piece of weaving equipment for $60,000. It is
expected to depreciate at an average of 10% per year.
a) Is this a growth or decay model?
______________________________
b) Write an algebraic equation that models the situation: __________________________
c) Fill in the table’s values for the value of the equipment for the next 4 years. (Round decimals to
the nearest hundredth)
Years
0
1
2
3
4
d) What will the value of the
Value of
equipment be in 10 years?
Equip.
3. The population of termites in Mrs. Woodley’s house is 200. A termite inspector tells Mrs. Woodley that
the number of termites will quadruple every week until she pays for their removal.
a) Is this a growth or decay model? ________________________________
b) Fill in the table values for the expected number of termites for the first 4 weeks. (Round to the
nearest whole number)
Week
0
1
2
3
4
c) Write a Next/Now model.
# of
d) NEXT =
termites
starting at
e) How many termites can Mrs. Woodley expect at the end of 9 weeks?
4.
Miles bought a new boat for $20,000 in 2000. The value of the boat depreciates 8.5% every year.
What would the value of Miles’ boat in 2009? (Let 2000 be year 0.)
!
5. State the translation that takes place from �� �� = 3
to each of the following.
!
!!!
!!!
!!!
�� �� = 3
+ 8
�� �� = 3
− 5
�� �� = −3
+ 1
�� �� = 3
!
6.
If the function �� �� = 4
is translated up 6 and left 2, write the new function, ��(��).
!
7. If the function �� �� = 1.5
is translated down 4 and left 5, write the new function, ℎ(��).
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education