Introduction to Twelve Basic Functions
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Key Questions

 Identity:
#f(x) = x#  Square:
#f(x) = x^2#  Cube:
#f(x) = x^3#  Reciprocal:
#f(x)=1/x = x^(1)#  Square Root:
#f(x) = sqrt(x) = x^(1/2)#  Exponential:
#f(x) = e^x#  Logarithmic:
#f(x) = ln(x)#  Logistic:
#f(x) = 1/(1+e^(x))#  Sine:
#f(x) = sin(x)#  Cosine:
#f(x)=cos(x)#  Absolute Value:
#f(x) = abs(x)#  Integer Step:
#f(x)= "int"(x)#
 Identity:

The Sine function:
#f(x) = sin(x)#
The Cosine function:#f(x) =cos(x)#
and
The Logistic function:#f(x) = 1/(1e^(x))#
are the only function of the "Basic Twelve Functions" which are bounded above. 
Of the 12 Basic Functions only
The identity function:#f(x)=x#
and
The reciprocal function:#f(x)=1/x#
are their own inverses.