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In mathematics, the domain of a function is the set of inputs accepted by the function. It is sometimes denoted by dom ( f ) {\displaystyle \operatorname {dom} (f)} or dom f {\displaystyle \operatorname {dom} f} , where f is the function.
Domain of a Function. more ... All the values that go into a function. The output values are called the range. Domain → Function → Range. Example: when the function f (x) = x 2 is given the values x = {1,2,3,...} then those values are the domain. Domain, Range and Codomain.
The domain of a function is the set of all possible input values that produce a real output. In other words, the domain indicates the interval over which the function is defined. Consider f(x) = x.
A function named \(f\) is like a machine into which you feed an input \(x\) from a set of inputs called the domain of \(f\). The variable representing the inputs is called the independent variable.
The Codomain is the set of values that could possibly come out. The Codomain is actually part of the definition of the function. And The Range is the set of values that actually do come out. Example: we can define a function f (x)=2x with a domain and codomain of integers (because we say so).
The domain and range of a function is all the possible values of the independent variable, x, for which y is defined. The range of a function is all the possible values of the dependent variable y.
The domain of a function includes all real input values that would not cause us to attempt an undefined mathematical operation, such as dividing by zero or taking the square root of a negative number. The domain of a function can be determined by listing the input values of a set of ordered pairs.
