Chpt. 3 Review

Exponential Graphs and Equations

Range: (0, ∞)
Domain: (-∞, ∞)

d: shifts graph up and down
c: shifts graph left and right
b (base): <1 will grow faster and look more compressed
              >1 get the exponential decay
a: pulls graph away from the x-axis

 Properties of Exponents

  

Discretely Compounded Interest

Continuously Compounded Interest

e= Natural Base
A=Accumulated (Present Value)
P= Principal amount (initial value)
r= Annual Interest Rate (%)
t=Time in years
n= # of compounded periods/year

Logarithm Graphs

a=stretches vertically
b=makes the graph grow faster
c= Shifts horizaontally
d=moves the graph up or down
*Log is the inverse of an exponential function 

Key to everything!

Change of Base formula

Properties of Logs

 




Solving Log Equations