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WELCOME TO:

WELCOME TO:. HONORS PRE-CALCULUS. Rules:. The first individual who answers the question correctly (after raising his or her hand) will receive points for his or her team. Answers must be explained to the class. Calling out will disqualify your team for that question.

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WELCOME TO:

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  1. WELCOME TO: HONORS PRE-CALCULUS

  2. Rules: • The first individual who answers the question correctly (after raising his or her hand) will receive points for his or her team. • Answers must be explained to the class. • Calling out will disqualify your team for that question.

  3. Exponential Functions (100 pts) • Use the graph of f(x) to describe the transformation that results in the graph of g(x). f(x) = 3xg(x) = 2  3x – 5

  4. Exponential Functions (200 pts) • What is the value of $2,000 invested at 6.5% after 12 years if the interest is compounded annually?

  5. Exponential Functions (300 pts) • What is the value of $250 invested at 8% after 10 years if the interest is compounded continuously?

  6. Exponential Functions (400 pts) • Eric and Sonja are determining the worth of a $550 investment after 12 years in a savings account earning 3.5% interest compounded monthly. Eric thinks the investment is worth $837.08, while Sonja thinks it is worth $836.57. Is either of them correct? Explain.

  7. Exponential Functions (500 pts) • You invest $1500 in an account with an interest rate of 8% for 12 years, making no other deposits or withdrawals. If your investment is compounded daily, about how long will it take to be worth double the initial amount?

  8. Logarithmic Functions (100 pts) • Evaluate the following expressions: log232 log131 lne11

  9. Logarithmic Functions (200 pts) • Evaluate the following expressions: log322 eln12

  10. Logarithmic Functions (300 pts) • The students in Mr. Weisbach’s class were tested on exponents at the end of chapter one and then retested each month to determine the amount of information they retained. The average exam scores can be modeled by f(x) = 85.9 – 9lnx, where x is the number of months since the initial exam. What was the average score after 3 months?

  11. Logarithmic Functions (400 pts) • An investment of $10,000 was made in 2002 and had a value of $17,500 in 2013. If the investment was compounded continuously, what was the average annual growth rate of the investment?

  12. Logarithmic Functions (500 pts) • The number of machines infected by a specific computer virus can be modeled by the equation c(d) = 6.8 + 20.1lnd, where d is the number of days since the first machine was infected. On about what day will the number of infected machines reach 75?

  13. Properties of Logarithms (100 pts) • Expand the following expression.

  14. Properties of Logarithms (200 pts) • Expand the following expression

  15. Properties of Logarithms (300 pts) • Condense the following expression

  16. Properties of Logarithms (400 pts) • Condense the following expression

  17. Properties of Logarithms (500 pts) • Walter is a chemist who can create chemicals at an exponential rate. The number of pounds of chemicals he can create can be modeled by c(d) = 4.9 + 11.2lnd + 3lnd2. About how many pounds has created by day 8?

  18. Exp. & Log Equations (100 pts) • Solve the following equation:

  19. Exp. & Log Equations (200 pts) • Solve the following equation:

  20. Exp. & Log Equations (300 pts) • Solve the following equation:

  21. Exp. & Log Equations (400 pts) • Solve the following equation:

  22. Exp. & Log Equations (500 pts) • Solve the following equation:

  23. Wild Card (100 pts) • Solve the following equation:

  24. Wild Card (200 pts) • Solve the following equation.

  25. Wild Card (300 pts) • Solve the following equation:

  26. Wild Card (400 pts) • The number of people P in millions Chrome and Safari to surf the internet t weeks after the creation of the search engines can be modeled by: During which week did the same number of people use each search engine?

  27. Wild Card (500 pts) • The table shows revenue from sales of T-shirts and other memorabilia sold by two different vendors during and one week after the 2013 World Series. If the sales are decreasing at an exponential rate, identify the continuous rate of decline for each vendor’s sales.

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