diff --git a/guide/english/mathematics/functions/domain-and-codomain/index.md b/guide/english/mathematics/functions/domain-and-codomain/index.md index 4c84003eb0..af4600b8bf 100644 --- a/guide/english/mathematics/functions/domain-and-codomain/index.md +++ b/guide/english/mathematics/functions/domain-and-codomain/index.md @@ -1,12 +1,33 @@ --- title: Domain and Codomain --- + ## Domain and Codomain +### Domain +The domain of a function defines what input values are valid for that specific function. Any value picked outside of that domain is undefined for that function + +Example: + +Have a look at the function f(x) = 1/x. Here x can be any real number, except for 0 since we would have 1 divided by 0 and we all know that division by zero is not allowed. + +Sometimes, we define a subdomain for a function to limit the application of the function to only the desired cases. For example let's say we take the same function as above f(x) = 1/x, but we are only interested in the decreasing part of the function. In that case we would define our subdomain as only the positive numbers, 0 not included since 0 is not part of the domain. + +### Codomain + +Very similar to the domain, the codomain defines a range of valid results for a function. The codomain is in other words, the domain of all the images of a given function. + +Example: + +If we look at the function f(x) = 1/x , we can say that the codomain is the set of all the real numbers, except for 0 since there exists no input for this function that would output 0 as a result. + + + #### More Information: