Domain Of A Function Meaning

Domain of a function.

Domain of a function meaning. X y and is alternatively denoted as dom f displaystyle operatorname dom f. A domain refers to all the values that go into a function. By taking an example of a coin stamping machine we can illustrate the meaning of a function as follows.

Consider this box as a function f x x 2. In mathematics a function can be compared to a machine that generates some output in correlation to a given input. All the values that go into a function.

When the function f x x2 is given the values x 1 2 3 then the domain is simply those values 1 2 3. However as the coefficients of a series are quite arbitrary a function that is the sum of a convergent series is generally defined otherwise and the sequence of the coefficients is the result of. Diagramatic interpretation in the cartesian plane defined by the mapping f.

In plain english this definition means. Before getting into the topic of domain and range let s briefly describe what a function is. X y where y f x x domain of function y range of function and im f denotes image of f every one x in x maps to exactly one unique y in y the circled parts of the axes represent domain and range sets in accordance with the standard diagrams above.

For example the exponential function is given by. The set of possible y values is called the range. It is the set x in the notation f.

The output values are called the range. The domain of a function is the set of all possible inputs for the function. Google classroom facebook twitter.