Introduction to Twelve Basic Functions
Key Questions
-
The Sine function:
#f(x) = sin(x)#
The Cosine function:#f(x) =cos(x)#
and
The Logistic function:#f(x) = 1/(1-e^(-x))#
are the only function of the "Basic Twelve Functions" which are bounded above.Alan P. · 5 · Apr 27 2015
-
Of the 12 Basic F|unctions only
The identity function:#f(x)=x#
and
The reciprocal function:#f(x)=1/x#
are their own inverses. -
- 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: