4.06 Exponential and Logarithmic Functions Exam

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timer Asked: Jun 16th, 2018
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1. The function Imported Asset is an example of an exponential function.


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

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

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

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.

8. Rewrite log381 = 4 in exponential form.

square root of 81 equals 3

81 to the one-half power equals 4

9. Evaluate 7 raised to the log base 7 of 4

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

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

graph through the points (negative 1, one-fourth), (0, 1), (1, 4) and has a horizontal asymptote at y = 0


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

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

14. What is the equation of the following graph?

graph through the points (negative 3, one-half), (negative 2, 1), (negative 1, 2) and has a horizontal asymptote at y = 0


15. The following is the graph of f(x) = 4x. graph through the points (negative 1, one-fourth), (0, 1), (1, 4) and has a horizontal asymptote at y = 0


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

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

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?

graph through the points (negative 1, 1 and one-half), (0, 3), (1, 6) and has a horizontal asymptote at y = 0

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

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

Imported Asset


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

The "a" value stretches the function vertically by a factor of |a|.

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

graph through the points (one-tenth, negative 4), (1, 0), (10, 4) and has a vertical asymptote at x = 0


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

graph through the points (4 and one-tenth, 1), (5, 0), (14, negative 1) and has a vertical asymptote at x = 4


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

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

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

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? graph through the points (negative 2 and nine-tenths, 1), (negative 2, 2), (7, 3) and has a vertical asymptote at x = negative 3


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)?

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

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

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


Tutor Answer

vmohanakumar
School: Carnegie Mellon University

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Anonymous
Outstanding Job!!!!

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