12 basic Functions

Identity function

f(x)= x
D: all real
R: all real

Squaring Function

f(x)= x^2
D: all real
R: [0, infinity)

Cubing Function

f(x)= x^3
D: all real
R: all real

Reciprocal or Rational Function

f(x)= 1/x
D: (-infinity, 0) U (0, infinity)
R: (-infinity, 0) U (0, infinity)

Square Root Function

f(x)=√x
D: [0, infinity)
R: [0, infinity)

Exponential Function

f(x)= e^x
D: all real
R: (0, infinity)

natural logarithm function

f(x)= ln(x)
D: (0, infinity)
R: all real

Sine Function

f(x)= sin(x)
D: all real
R: [-1, 1]

Cosine Function

f(x)= cos(x)
D: all real
R: [-1, 1]

Absolute Value Function

f(x) = |x|
D: all real
R: [0, infinity)

Greatest Integer Function

f(x)= int(x)
D: all real
R: all integers

Logistic Function

f(x0= 1/ 1+e^-x
D: all real
R: (0, 1)