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Exponential Functions & Logarithmic Functions Chapter Exam

Exam Instructions:

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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Question 1 1. You're saving up for a $16,000 car. If you put $6,000 in a bank account that gives you 12% interest each year, how many years, to 1 decimal place, will it take before you have enough money for the car?

Question 2 2. Which of the following equations represents an exponential decay?

Question 3 3. What is the inverse function?

Question 4 4. What transformation happens to this function?

Question 5 5. Every year a laptop is worth 1/3 of what it was worth each year previous. If you have a $600 laptop, how much is it worth after 15 years?

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Question 6 6. Which of the following produces a flip over the y-axis?

Question 7 7. Which of the following represents an equation for your bank balance as a function of time given a starting balance of $147 and an interest rate of 3%

Question 8 8. What transformation happens to this function?

Question 9 9. Evaluate the logarithm below to 2 decimal places.

Question 10 10. Evaluate.

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Question 11 11. Evaluate.

Question 12 12. To exponentiate both sides of an equation is to _____

Question 13 13. What is the standard base for logarithms?

Question 14 14. The following differential equation represents the change in population as a function of time. What does the 0.03 represent in this equation?

Question 15 15. Simplify: ln(a*4*e/b).

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Question 16 16. Which of the following produces a shift up?

Question 17 17. Which of the following is an approximation of e?

Question 18 18. Solve the exponential equation below for x:

Question 19 19. What kind of shift or flip does y = log (x - 4) produce?

Question 20 20. Simplify:

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Question 21 21. What kind of number is e?

Question 22 22. Which logarithmic property is shown below?

Question 23 23. Which of these equations correctly represents the following scenario: In her prime, 40 million people knew who Britney Spears was, but that number has been decreasing by 10% each year. So, since 90% of people still recognize her each year, how many people still know who Britney is each year?

Question 24 24. Evaluate: log (1000).

Question 25 25. Given a population growth of 3%, how long will it take for the population to grow from 100 to 150?

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Question 26 26. Solve the differential equation for your bank balance given as follows.

Question 27 27. What kind of shift happens with this function?

Question 28 28. Evaluate to 2 decimal places.

Question 29 29. Solve the exponential equation below for x:

Question 30 30. What kind of shift or flip does y = - log (x) produce?

Exponential Functions & Logarithmic Functions Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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