Question

how to find codomain

Answer 1

The codomain of a function is the set of its possible outputs. In the function machine metaphor, the codomain is the set of objects that might possible come out of the machine.

For example, when we use the function notation f: R→R f: R→R, we mean that ff is a function from the real numbers to the real numbers. In other words, the codomain of ff is the set of real numbers RR(and its set of possible inputs or domain is also the set of real numbers RR).

Just because an object is in the codomain of a function, it does not necessarily mean that there is an input for which the function will output that object. For example, we could define a function f:R→R f:R→R as f(x)=x2f(x)=x2. Since f(x)f(x) will always be non-negative, the number −3−3 is in the codomain of ff, but there is no input of xx for which f(x)=−3f(x)=−3. The set of all outputs that result from putting all inputs into the function is called the range. For the above ff, the range is the set of non-negative real numbers while the codomain is the set of all real numbers.

Answer 2

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