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Name: ________________________ Class: ___________________ Date: __________ ID: A Algebra 2 Quiz 4.1-4.5 5. Graph this relation and its inverse of the relation. Identify the domain and range of the inverse. x 1. Tell whether the function y = 2 (5) shows growth or decay. Then graph the function. x y 2. Mira bought $300 of Freerange Wireless stock in January of 1998. The value of the stock is expected to increase by 7.5% per year. Use a graph to predict the year the value of Mira’s stock will reach $700. −1 4 1 2 3 1 5 0 7 1 6. Use inverse operations to write the inverse of x f(x) = 4 – 5. 3. A bacteria population starts at 2,032 and decreases at about 15% per day. Write a function representing the number of bacteria present each day. Graph the function. After how many days will there be fewer than 321 bacteria? 7. Write the exponential equation 2 3 = 8 in logarithmic form. 8. Write the logarithmic equation log4 16 = 2 in exponential from. 4. A initial investment of $10,000 grows at 11% per year. What function represents the value of the investment after t years? 1 Name: ________________________ ID: A 9. Graph f(x) = 5x − 1 . Then, write and graph the inverse. 10. Evaluate log 4 1 16 14. Use x = −3, –2, 0, 1, 2 to graph the function f (x ) = 2 x . Then graph its inverse. Describe the domain and range of the inverse function. by using mental math. 15. Simplify the expression log 4 64. 11. Express log 3 6 + log 3 4.5 as a single logarithm. Simplify, if possible. 16. Evaluate log 9 243 . If necessary, round your answer to the nearest tenth. 12. Express log 2 64 − log 2 4 as a single logarithm. Simplify, if possible. 17. Simplify log 7 x 3 − log 7 x . 18. (Extra Credit) Solve log 5 x 10 − log 5 x 6 = 21 . 13. Express log 3 27 −3 as a product. Simplify, if possible. 2