Domain Codomain And Range Examples

Also again domain deals with the independent variable while codomain gives us a loose idea about the dependent variable.

Domain codomain and range examples. A b f be function from a to b then set a is known as the domain of the function f set b is known as the co domain of the function f. Thus making domain codomain and range to be equal. Domain codomain and range of a function let f be a function and we have f.

As usual the best way to understand what the domain and codomain are is. The definition of the codomain is often especially difficult to understand. Find the domain and range of the following function.

Similarly the range is all real numbers except 0. The domain and codomain to be equal to each element of the domain should have an image in the codomain. For example the function has a domain that consists of the set of all real numbers and a range of all real numbers greater than or equal to zero.

F x 2 x 1 solution. A simple function like f x x 2 can have the domain what goes in of just the counting numbers 1 2 3 and the range will then be the set 1 4 9 and another function g x x 2 can have the domain of integers 3 2 1 0 1 2 3 in which case the range is the set 0 1 4 9. Things that appear the same may not always be.

Tori gives examples using all three. The output of a function by redefining the codomain of that function. A set of values that contains all the values a dependent variable can possibly be.

Its range is a sub set of its codomain. Since the function is undefined when x 1 therefore the domain is all real numbers except 1. X 1 0 1.