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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. The graph of f (x) is a straight line that extends in either direction towards infinity.
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.
Domain of a Function. The domain of a function is the set of all inputs for the function. This may be explicitly given in a situation, such as \[ f(x) = x + 4, \quad 0 \leq x \leq 20 \notag \] or it may be implicitly assumed to be the domain of whatever algebraic expression is defining the function.
The domain of a function is the complete set of possible values of the independent variable. In plain English, this definition means: The domain is the set of all possible x -values which will make the function "work", and will output real y -values.
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 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.
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.
