1. Unit 3

2. Logarithmic Properties
Simplifying
Inverse Functions
Graphing
Logarithmic Properties
Solving Equations
$100
$200
$300
$400
$500

3. Simplifying $100
Which expression is another way to write ?
A. C.
B. D.

4. Simplifying $200
Which is the simplified form of the radical expression
A. C.
B. D.

5. Simplifying $300
Which is the simplified form of the expression ?
A. C.
B. D.

6. Simplifying $400
Which is the simplified form of C.
B D.

7. Simplifying $500 Which expression is the simplified form of
the product ?
A. C.
B. D.

8. Inverse Functions $100 Which graph is a one-to-one function? A. C.
B. D.

9. Inverse Functions $200
If the point (-2, 64) lies on the graph of which point must lie on the graph of ?
A. (2, -64)
B. (64, -2)
C. (-64, 2)
D. (-1/2, -64)

10. Inverse Functions $300
Which function is the inverse of
A C.
B D.

11. Inverse Functions $400 Is the function even, odd, or neither? A. even
B. odd
C. neither

12. Inverse Functions $500
Which of the following statements describes a relation with symmetry over the x-axis? A. B. C. D.

13. Graphing $100
Which is a graph of
A C.
B D.

14. Graphing $200 What is the range of the function A. all real numbers
B. all negative real numbers
C. all positive real numbers
D. all real numbers except zero

15. Graphing $300
What is the domain of the function
A. C.
B. D.

16. Graphing $400 How can the graph of be obtained from the graph of ?
A. Stretch the graph vertically by a factor of 2 and shift the vertical asymptote 3 units left.
B. Stretch the graph horizontally by a factor of 2 and shift the vertical asymptote 3 units left.
C. Stretch the graph vertically by a factor of 2 and shift the vertical asymptote 3 units right.
D. Stretch the graph horizontally by a factor of 2 and shift the vertical asymptote 3 units right.

17. Graphing $500
Match the correct graph of the function
A B.
C D.

18. Logarithmic Properties $100
Which logarithmic equation is equivalent to
the exponential equation ?
A. C.
B. D.

19. Logarithmic Properties $200
What point will be on the graph of
regardless of the value of a?
A. (1, 10)
B. (1, 0)
C. (0, 1)
D. (10, 1)

20. Logarithmic Properties $300
Which is the expanded form of A. B. C. D.

21. Logarithmic Properties $400
Which of these points is furthest from the origin?
A. (-1, 4, 2)
B. (3, 0, 4)
C. (-3, 1, 3)
D. (-2, 2, -2)

22. Logarithmic Properties $500
How can the expression be
rewritten as a single logarithm?
A C.
B D.

23. Solving Equations $100 What are all solutions to the equation A. C.
B D.

24. Solving Equations $200
Which best describes the solutions of the equation
A. x = -3 and 5
B. x = 5. x = -3 is extraneous.
C. x = 3. x = -5 is extraneous.
D. x = 23/4

25. Solving Equations $300
The formula to determine the balance of a compound-interest bank account after t
years is Justin deposited $500 in
a bank CD earning 4.8% interest compounded monthly. How long will it take for his balance to reach $650?
A. 5.5 years C years
B. 4.8 years D years

26. Solving Equations $400
The continuous compound interest formula is If Melissa invests $2500 in a bank CD paying 3.8% interest compounded continuously, how long will it take for the balance of the account to reach $4000?
A years C. 5.4 years
B years D years

27. Solving Equations $500
The exponential equation models the amount of a radioactive isotope (in grams) in a sample after t years. To the nearest year, how long until 390 grams of the isotope remains?
A. 4 years C. 8 years
B. 7 years D. 18 years