In mathematics in the United States, particularly in preparing for entrance exams such as the SAT, ACT, GRE, and GMAT, knowing about the domain and range of a function is critical. But what are these two terms, and what do they refer to? To make it simple, we first need to know about the function itself. Here in this article, we will see what is the domain, range and codomain of a function and how to go through some examples that are already solved so you can understand these basics easily.
What is the difference between domain and codomain?
In maths, the domain is the set of all possible inputs of a function, whereas the codomain is the set of its possible outcomes or results.
How do you find the domain of a function?
Generally, the set of real numbers is considered to be the domain of a function. However, we can get the domain set by excluding the values for which the given function is undefined for a particular function.
What is the easiest way of writing the range of a function?
The easiest method of finding the range of a function, say y = f(x), is to express x as g(y) and identify the domain set for g(y). This will be the range for the given function f(x).
Can range be equal to codomain?
The range can be less than or equal to the codomain but cannot be greater.
Is codomain a subset of range?
Yes, the codomain is a subset of the range.