Examples for

Domain & Range

The domain of a function describes the set of numbers on which the function can act. Its range, or image, is the set of values the function can return. Wolfram|Alpha can compute the domain and range of functions of one or several variables.

Domain & Range

Find the domain and range of a mathematical expression.

Compute the domain of a function:

domain of f(x) = x/(x^2-1)
domain of sqrt(sin(x))

Compute the range of a function:

range of x^2 - x - 1
range of e^(-x^2)

Specify a restriction on the independent variable:

range of 1/sqrt(x^2+1) restricted to 1<x<4

Compute both domain and range:

domain and range of (x^2+1)/(x^4-1)
domain and range of tan(x) restricted to x>0

Compute domain and range of a function of several variables:

domain and range of z = x^2 + y^2
domain of f(x,y) = log(1-(x^2+y^2))

RELATED EXAMPLES

  • Algebra
  • Calculus & Analysis
  • Continuity
  • Injectivity & Surjectivity
  • Mathematical Functions