# 4.06 Exponential and Logarithmic Functions Exam

Anonymous
account_balance_wallet \$20

Question description

1. The function is an example of an exponential function.

 TRUE FALSE

2. The function f(x) = 6x is an example of an exponential function.

 TRUE FALSE

3. The function f(x) = logx is a logarithmic function.

 TRUE FALSE

4. The function f(x) = 10x is a logarithmic function.

 TRUE FALSE

5. Write log8y = x as an exponential function.

6. Write 5x = 40 as a logarithmic function.

7 log981 = 2 rewritten in exponential form is 92 = 81.

 TRUE FALSE

8. Rewrite log381 = 4 in exponential form.

 34 = 81 43 = 81

9. Evaluate

10. Write 1 – 3log5x as a single logarithm.

11. The following is the graph of f(x) = 3x.

 TRUE FALSE

12. The "h" value moves the graph up or down.

 TRUE FALSE

13. What is the transformation that occurs to the equation y = 2x if it changes to y = 2x - 8?

 The graph moves 8 units to the right. The graph moves 8 units to the left. The graph moves 8 units up. The graph moves 8 units down.

14. What is the equation of the following graph?

 f(x) = 2x + 2 f(x) = 2x - 2 f(x) = 2x - 2 f(x) = 2x + 2

15. The following is the graph of f(x) = 4x.

 TRUE FALSE

16. What is the domain of the function f(x) = 2x - 7 + 2?

 All Real Numbers x > 0 x < 0 x > 1

17. What is the domain for the function f(x) = 2x + 5?

 All Real Numbers x > 0 x < 0 x > 1

18. Suppose the population of a town is 100,000 in 1999. The population increases at a rate of 4.5% every year. What will be the population of the town in 2005? Round your answer to the nearest whole number.

19. You invest \$1,100 in an account that has an annual interest rate of 2.1%, compounded continuously. How much money will be in the account after 7 years? Round your answer to the nearest whole number.

20. The parent function of the following graph is f(x) = 2x. What is the equation of the following graph?

21. Determine if the equation y = (0.9)x represents exponential growth or decay.

22. This is the graph of f(x) = log(x).

 TRUE FALSE

23. What affect does the "a" value have on the function f(x) = log(x)?

 The "a" value reflects the graph across the y-axis. The "a" value moves the function up or down. The "a" value moves the function to the left or right. The "a" value stretches the function vertically by a factor of |a|.

24. The following is the graph of f(x) = 3log(x).

 TRUE FALSE

25. The following is the graph of f(x) = log(x – 4).

 TRUE FALSE

26. What is the domain of f(x) = log(x + 4)?

 All Real Numbers x > -4 x > 4 x > 0

27. What is the domain of f(x) = log(x + 1) + 4?

 All Real Numbers x > 1 x > -1 x > 4

28. The solution to x = log315 is approximately 2.46.

 TRUE FALSE

29. Solve x = log2100. Round your answer to the nearest hundredth.

30. Solve 8x = 60. Round your answer to the nearest hundredth.

31. Solve 7log9(x + 8) = 7.

32. What is the approximate solution of the function at x = -2?

 -2 2 2.5 -1.5

33. Write x6 = 100 as a logarithmic function.

34. Write 2log35 + log32 as a single logarithm.

35. What is the transformation that occurs to the equation y = 2x if it changes to y = 2x + 8 + 4?

36. What is the range of the function y = 2x + 3 + 2?

37. You invest \$1, 500 in an account that has an annual interest rate of 3.4%, compounded continuously. How much money will be in the account after 6 years? Round your answer to the nearest whole number.

38. What affect does h = -4 have on the function f(x) = log(x)?

 The graph moves 4 units to the right. The graph moves 4 units to up. The graph moves 4 units to the left. The graph is stretched by a factor of |-4|.

39. What is the domain of f(x) = log(x + 3) – 4?

40. The solution to (2.4)x = 9 is approximately 3.75.

 TRUE FALSE

41. Solve 3x+1 = 500. Round your answer to the nearest hundredth.

vmohanakumar
School: Carnegie Mellon University

Since it says answer is ...

flag Report DMCA
Review

Anonymous
Outstanding Job!!!!

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors