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Transcendental Functions and Equations (Exponential Functions (Form…
Transcendental Functions and Equations
Exponential Functions
Form
f(x)+ab^x
Domain= (-infinity, infinity)
Range= (0, infinity)
Models
Growth or Decay
Half-Life Problems
Interest
Graphs
Parent Function
Transformed Function
f(x)=a+base^(x-h) +v
Range can only change on exponential functions.
Logarithmic Functions
Inverses
Form
f(x)=log(base10)x
Domain= (0, infinity)
Range= (-infinity, infinity)
Graph
Parent Function
Transformed function
f(x)= alog(x-h)+k
Domain can only change on logarithmic functions.
Evaluation
Answer to log is an exponent.
For example, log(base 5)25=2
Properties of Logarithms
Power Property
Quotient Property
Change of Base Formula
Product Property
Exponential and Logarithmic Equations
One To One Property
Exponential
Logarithmic
