![]() ![]() ![]() So we can write this as the range of the function is (-∞,∞). Here y 0 is the range of the given function. Taking the example taken above, y = x + 4 Hence, a range can also be defined as the set of all the possible values of the function that we receive upon taking the different values of x in the function f. The range is all the elements from set B that have the corresponding pre-image in set A. According to the example taken above, set B is the codomain of the function This means that the set of all the possible values that ‘y’ can take in the function f is the codomain of the given function. According to the example taken above, set A is the domain of the function.Ī codomain is the group of possible values that the dependent variable can take. This means the set of all the possible values that ‘x’ can take in the function f is the domain of the given function. Here, set A and set B have all the numbers that are present in real numbers.Ī domain is a group of possible values that the independent variable can take. ![]() Y=x² is a function where x and y belong to real numbers. A function is represented in the following manner: So, for this relationship to be a function, all the elements of set A should have a corresponding and unique element in set B. Say there are two sets namely, set A and set B. To understand the definition clearly let’s take an example. However, the relation or the correspondence of the first set's elements must be with exactly one element of the second set. Do you know what a function is? Any relation defined over two different sets is a function, provided that every element that is a part of the first set has a corresponding element in the second set of the relation. So today we are here to learn about the differences between Codomain and Range.īut to understand all this we first need to know what a function is. The deeper you go in the world of mathematics, the more magnificent it gets. Like numbers, there is no end to the mysteries of mathematics. There are many concepts in Math that can surprise one and also come as a challenge for the students. ![]()
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