Function Range

The function range is the set of elements that contain the dependent variable y in the function y = f(x). It is all possible numbers that answer the function equation. The range of output is determined by the independent variable x and the function f(x). It can be determined by the mapping of the function itself on the Cartesian Plane. The function's range set is also known as the solution set and can consist of one number, a finite set of numbers or be infinite, such as the set of real numbers. A function's range is all the possible answers to the function given the nature of the function and the function's domain. The range is not normally constricted by definition.

Finite function range:
If y = f(x) is y = 0 x x,
y equals 0 times x,
the range or solutions set is y = 0,
no matter what the value of x.

Infinite function range:
If y = f(x) is y = 2x + 1,
2 times x plus 1,
the range is the set of real numbers.