1. APC Unit 4 Chapter 5 Review

2. Review Homework  Any Questions?  Was it harder? Why?  What did you learn?

3. What to know for the test  Calculator Skills  Natural Log Regressions – lnReg  Understand what the graph should look like  Turn on stat plots  What is x and what is y, L1, L2  Store your regression into y1  P.347 #100  P340 #5

6. Application of exponential functions  Compounded Interest Rates

7. Application: Money

8. Continuous Compounding

9. Effective Rates – allows us to compare different rates rr

10. Practice  P. 347 #90  P. 320 23-26

11. Practice  P. 320 #27-30

12. Growth/Decay Models  y = Ce kt  When t = 0 what is the value of y?  Y = C  C is the original value  What happens to the graph as k increases?  K is the growth rate, k>0  K is the decay rate, k<0

13. Use the Given information to solve for k  “number of cells doubles every 3 hours”  C is the original amount  When t = 3, y = 2C  Solve for k

14. Once K is found, solve for other values  “triple” in size  Y = 3C  Solve for t

15. Building Models from Data  Review: To enter data into a list  (stat), [1: edit]  …enter L2 and L2  To View  (2 nd )(stat plots) >  Look at the data to determine your window  To do the regression:  (stat) > [CALC], [9: LnReg]

16. Practice Growth Decay Models  P. 346 #87  P. 333 #21

17. Logistic Model  Define

18. Solve log/exponential Equations Graphically  Quick  Use Graphing Calculator  Learn from past mistakes  Use ( ) properly  Think about it… does your graph look like a log function? Exponential function?  Check your order of operations  P. 346 #84

19. Non-Calculator Skills  Composition of functions P.. 344 8, 10, 12  Domain of composed functions  F(g(x)) Exclude where g(x) is undefined  Exclude where f(g(x)) is undefined  (alternately where g(x) is equal to the value that makes f(x) undefined  P. 344 14  Numerically? #16  Graphically #18, 20

20. Practice

21. More Practice

22. Inverse Functions  How to find?  How to Check/Verify?  F(f -1 (x)) = x and f -1 (f(x))=x  DO NOT JUST FIND THE INVERSE OF YOUR INVERSE  Graphically Reflect over the line y=x  Numerically switch the x and y values  P. 345 56, 58, 61, 62

24. Exponential Functions  They’re exponentially FUN  Graph using transformations  Analyze domain and range (use a sketch)

25. Logarithmic Functions  Graph using transformations  Analyze domain and range (Sketch)

26. Evaluate (without a calculator)  Exponential expressions  Log expressions  P. 345 23-24

27. Log Rules

28. Rules and not rules  Lo P. 345 40-54 even

30. Solving Equations  Using Inverse operations p. 346 77, 80  Using substitution to factor p. 346 81  Using Substitution on Rational  P. 346 #82  Check for extraneous results