Unit 3

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

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

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

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

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

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

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

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)

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

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

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

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

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

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

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.

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

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

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)

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

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)

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

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

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

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. 14.5 years B. 4.8 years D. 6.3 years

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. 10.3 years C. 5.4 years B. 12.4 years D. 26.3 years

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