Chapter 3 Vocab Terms Flashcards
includes polynomial functions and rational functions
Algebraic Function
nonalgebraic function such as exponential and logarithmic functions
Transcendental Functions
f(x) = a^x
exponential function f with base a
e=2.718281828…
natural base
f(x)=e^x
natural exponential function
When the number of compoundings n increases without bound, the process approaches what is called
A=P(1+(r/n)^nt
continuous compounding
f(x)=loga^x
logarithmic function with base a
logarithmic function with base 10
common logarithmic function
f(x)=logex =lnx
Natural logarithmic function
log a of x = log 10x/log10a
Change of Base, base 10
log a of x = log b of x/ log b of a
Change of Base, base b
log a of x =lnx/lna
Change of Base, base e
Let a, b, and x be positive real numbers such that a does not equal 1 and b does not equal one. Then log(a) of x can be converted to a different base.
Change of Base Formula
y=ae^bx when b>0
Exponential Growth Model
y=ae^-bx when b>0
Exponential Decay Model
y =ae^-(x-b)^2/c
Gaussian Model
y=a/1+be^-rx
Logistic Growth Model
y=a +b ln(x) or y+ a +b log of 10 x
Logarithmic Model
term used in Gaussian Models, for probability and statistics
normally distributed
Type of curve Gaussian model has
Bell Shaped Curve
given by the formula y=a/1+be^-rx and happens in Logistic Growth models
Logistic Curve
another name for logistic growth curve
Sigmoidal Curve
