2. Warm Up  Describe the transformations of f(x) = 0.6e x – 1 from the parent function g(x) = e x  Solve: log 6 2x = 3  Solve: 15 24x = 15 10  Solve: ln7 + 2ln3 = lnx

4. Warm Up  Solve: log 6 2x = 3  Solve: 15 24x = 15 10  Solve: ln7 + 2ln3 = lnx

5. Review of Exponential and Logarithmic Functions

6. The Rules of the Game

7. An exponential function is a function with an exponent that is a __________. THIRTY SECONDS TO WIN IT! End

8. Logarithmic functions are the __________ of exponential functions. THIRTY SECONDS TO WIN IT! End

9. THIRTY SECONDS TO WIN IT! End

10. Eddie invested $2,000 into an account with a 5.5% annual interest rate. Write a function to model the amount in Eddie’s account after t years. MINUTE TO WIN IT! End

11. How much money will be in Eddie’s account after 3 years? MINUTE TO WIN IT! End

12. Graph your function from part (a) to predict the doubling time of Eddie’s investment. MINUTE TO WIN IT! End

13. MINUTE TO WIN IT! End

14. MINUTE TO WIN IT! End

15. MINUTE TO WIN IT! End

16. MINUTE TO WIN IT! End

17. Let f(x) = 2x – 4 and let g(x) = x 2 + 7. Find f(g(x)). MINUTE TO WIN IT! End

18. Let f(x) = 2x – 4 and let g(x) = x 2 + 7. Find g(f(x)). MINUTE TO WIN IT! End

19. Let f(x) = 2x – 4 and let g(x) = x 2 + 7. Find f -1 (x). MINUTE TO WIN IT! End

20. MINUTE TO WIN IT! End

21. Find an exponential model for the following data and use the model to predict when the value of the car will drop below $2000. TWO MINUTES TO WIN IT! End Year (2000 = year 0) Value (in dollars) 010,000 29,032 57,753 96,290 115,685

22. MINUTE TO WIN IT! End Solve: e 6x = e x+15

23. MINUTE TO WIN IT! End

24. Great job teams!