Further Transcendental Function

Further-Transcendental-Functions
Logarithmic Functions
Properties of Logarithmic functions
Change of Base
Logarithmic Properties
Product Property
Quotient Property
Power Property
One to One Property
Solving Logarithmic functions
Expanding Logarithmic Functions (make
them longer)
Condensing Logarithmic Functions
(make them shorter)
Check for Extraneous Solutions (make
sure the solutions fall into the
domain)
Solving Using One to One Property (If
all terms share a log and log base,
then they cancel out)
Types of Logs
Natural Log (Ln)
Common Log (log)
Graphing
Graphing by Transformations
Horizontal Translation
Dilation
Reflection
Vertical Translation
Properties
X and Y Intercepts: (1,0) and None
Vertical Asymptote: x=0
End Behavior: As x approaches 0, y
approaches negative infinity. As x
approaches infinity, y approaches
infinity.
Domain and Range: (0 to infinity) and
(negative infinity to infinity)
Key Points: 1,0 and b,1
Exponential Functions
Exponential Growth & Decay
Compound & Continuous Interest
(Pe^rt and N=(1+r/n)^t)
Half Life (Pe^(.5)(t))
Solving Exponential Equations
Solving Using One to One Property (If
terms share a base, then the bases
cancel and the exponents are equal to
each other)
Solving with Quadratic Equations
(Factor and set the factors equal to
0)
Graphing
Graphing by Transformations
Horizontal Translation
Dilation
Reflection
Vertical Asymptote
Properties
X and Y Intercept: None and (0,1)
End Behavior: As x approaches negative
infinity, y approaches 0. As x
approaches infinity, y approaches
infinity.
Horizontal Asymptote: y=0
Domain and Range: (negative infinity
to infinity) and (0 to infinity)
Key Points: (0,1) and (1,b)
Modeling with Nonlinear Regression
Use Regression to Solve
Predict (How long will it take? How
many in soso years?)
Best Fit Equation (Which one is closer
to 1.00)
Linearizing
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