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)

Logarithmic function

f(x)= lnx

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)