APC
Unit 4
Chapter 5 Review
Review Homework
 Any
Questions?
 Was
it harder? Why?
 What
did you learn?
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
Application of exponential
functions
 Compounded
Interest Rates
Application: Money
Continuous Compounding
Effective Rates – allows us to
compare different rates
r
Practice
 P.
347 #90
 P.
320 23-26
Practice
 P.
320 #27-30
Growth/Decay Models

y = Cekt

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
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
Once K is found, solve for
other values
 “triple”
Y
in size
= 3C
 Solve
for t
Building Models from Data

Review: To enter data into a list



To View



(stat) , [1: edit]
…enter L2 and L2
(2nd)(stat plots)<enter> > <on>
Look at the data to determine your window
To do the regression:

(stat) > [CALC], [9: LnReg]
Practice Growth Decay
Models
 P.
346 #87
 P.
333 #21
Logistic Model
 Define
Solve log/exponential
Equations Graphically
 Quick
 Use
Graphing Calculator
 Learn from past mistakes



 P.
Use ( ) properly
Think about it… does your graph look like a
log function? Exponential function?
Check your order of operations
346 #84
Non-Calculator Skills

Composition of functions

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

P.. 344 8, 10, 12
Practice
More Practice
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
Exponential Functions
 They’re
 Graph
exponentially FUN
using transformations
 Analyze domain and range (use a sketch)
Logarithmic Functions
 Graph
using transformations
 Analyze domain and range (Sketch)
Evaluate (without a
calculator)
 Exponential
expressions
 Log expressions
 P.
345 23-24
Log Rules
Rules and not rules
 Lo
P. 345 40-54 even
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