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: