What is Range?

The range of a function, also known as the image, is the actual set of values that the function maps to when applied to the elements of the domain. Essentially, the range consists of all the output values that the function produces.

We can also say, range of a function is a set of all the images of elements in the domain.

Example:

f(x) = x2 with the domain X being the set of real numbers (R), the range of this function would be the set of non-negative real numbers (R+) because squaring any real number results in a non-negative value.

Difference between Codomain and Range

Codomain is the set that contains all possible values that the function can output, Range of a function, on the other hand, is the set of all output values that are actually attained by the function. Although they might seem similar initially, but they have different meanings and uses.

This article will explain the meaning of co-domain and range of a function along with the difference between codomain and range.

Similar Reads

What is Codomain?

Codomain of a function refers to the set of all possible values that the function can theoretically map to, irrespective of whether all these values are achieved by the function. In other words, it represents the set of all possible values that the function could map elements from the domain....

What is Range?

The range of a function, also known as the image, is the actual set of values that the function maps to when applied to the elements of the domain. Essentially, the range consists of all the output values that the function produces....

Difference between Range and Codomain

The differences between range and codomain is described in a tabular form below:...

Conclusion

In conclusion, we can say that codomain is the set of all possible output values that a function could produce, while the range is the subset of those values that the function actually does produce. The range is a subset of the codomain, and it represents the actual output values of the function....

FAQs on Difference between Codomain and Range

Can the range and the codomain be the same?...

Contact Us