Difference between Range and Codomain
The differences between range and codomain is described in a tabular form below:
|
Aspect |
Codomain |
Range |
|---|---|---|
|
Definition |
Codomain of a function is the set that contains all possible values that the function can output. |
Range of a function is the set of all actual outputs produced by the function. |
|
Relation to Function |
Defined when the function is specified. |
Derived from the function’s actual mapping. |
|
Inclusiveness |
Includes all potential outputs, whether or not they are produced by the function. |
Includes only those outputs that are actually produced. |
|
Example |
For f(x)=x2 with R as domain: Codomain is R. |
For f(x) = x2 with R as domain: Range is R+. |
|
Specification |
Determined when the function is defined, not dependent on the actual values taken by the function. |
Dependent on the actual values taken by the function when applied to its domain. |
Also Check,
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.
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