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Unit 3 (Graphing Functions # (Domain and Range, Asypmtotes, Finding Key…
Unit 3
Graphing Functions
#
Domain and Range
Asypmtotes
Finding Key Points
End Behavior
Transformations
Types of Functions
Algebraic Functions
Transcendental Functions
Logarithmic Functions
Properties of Logs
Division Property
Power Property
Product Property
One-to-One Property of logs
Same Bases
Natural Logs
Have a base of e
e=2.71...
Common Logarithm
Has a base of 10
Exponential Functions
One-to-One Property
Same Base
Exponential Growth/Decay
Population
Growth/Decay Formula
N=N₀(1+r)ᵗ
Continuous Growth/Decay
N=N₀eᵏᵗ
#
Money
Compound Interest
A=P(1+r/n)ⁿᵗ
Continuously Compounded Interest
A=Peʳᵗ
Inverses
Exponential Form to Logarithmic Form
logbBˣ=X and Bˡᵒᵍᵇˣ=X