Search results
Definition of. 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, Range and Codomain
Example: we can define a function f(x)=2x with a domain and...
- 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. The graph of f (x) is a straight line that extends in either direction towards infinity.
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.
Example: we can define a function f(x)=2x with a domain and codomain of integers (because we say so). But by thinking about it we can see that the range (actual output values) is just the even integers. So the codomain is integers (we defined it that way), but the range is even integers.
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.
11 lut 2021 · Definition. The set of values of the independent variable for which a function f (x) is defined is called the domain of that function. For example, the function is defined for all values of except -1 (because at x = -1, the function evaluates to which is undefined and does not lie in set of Real numbers).
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.
