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Exponential Functions Review Exercise

Practice problems on exponential functions with calculations and analysis. Solve for exponential growth, decay, half-life, logistic functions, and population growth. Enhance your math skills with this review task!

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Exponential Functions Review Exercise

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  1. 3.1-3.4 Review Last Man Standing

  2. Directions Take out a sheet of paper to answer all of the review problems. This will be collected for participation points! The “Last Man Standing” will be your prize!

  3. LAST MAN STANDING

  4. Determine a formula for the exponential functin whose graph goes through the given point and has a y-intercept of 2. (no calculator)

  5. Determine a formula for the exponential functin whose graph goes through the given point and has a y-intercept of 2. (no calculator)

  6. State whether is an exponential growth, decay, or neither.

  7. State whether is an exponential growth, decay, or neither. DECAY

  8. Calculator Ok The amount of C in grams of carbon-14 present in a certain substance after t years is given by . When will half life occur? Round to three decimal places.

  9. The amount of C in grams of carbon-14 present in a certain substance after t years is given by . When will half life occur? Round to three decimal places. 5700.224 years

  10. Solve .

  11. Solve

  12. Given the logistic function Find

  13. Given the logistic function Find 20

  14. State the initial value of

  15. State the initial value of

  16. Find the logistic function that satisfies the given condition: Initial value=10, limit to growth=40, passing thorugh (1,20)

  17. Find the logistic function that satisfies the given condition: Initial value=10, limit to growth=40, passing thorugh (1,20)

  18. Evaluate

  19. Evaluate

  20. The population in Smallville in the year 1890 was 6250. Assume the population increased at a rate of 2.25% per year. When will the population reach 50,000? You may use your calculator.

  21. The population in Smallville in the year 1890 was 6250. Assume the population increased at a rate of 2.25% per year. When will the population reach 50,000? You may use your calculator.

  22. If I have a substance with an initial mass of 592g. If the substance quarters every 6 days, when will the substance have a mass of 74g? Calculator ok.

  23. If I have a substance with an initial mass of 592g. If the substance quarters every 6 days, when will the substance have a mass of 74g?

  24. Find Given Include the appropriate domain

  25. Find Given

  26. Evaluate

  27. Evaluate

  28. Write as a single log

  29. Write as a single log

  30. State the domain and range of

  31. State the domain and range of

  32. Solve for x: Calculator ok Round to three decimal places

  33. Solve for x: Calculator Ok.

  34. WITHOUT a Calculator evaluate Give an exact value.

  35. WITHOUT a Calculator evaluate Give an exact value

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