Math Domain Of A Function

The range of a function is all the possible values of the dependent variable y.

Math domain of a function. When functions are first introduced you will probably have some simplistic functions and relations to deal with usually being just sets of points. The domain of a function is the set of numbers that can go into a given function. The domain of a function is the set of all possible inputs for the function.

The function equation may be quadratic a fraction or contain roots. In plain english this definition means. These won t be terribly useful or interesting functions and relations but your text wants you to get the idea of what the domain and range of a function are.

A quadratic function has the form ax 2 bx c. We can also define special functions whose domains are more limited. Since a function is defined on its entire domain its domain coincides with its domain of definition.

What is the domain and range of a constant function. For example the domain of f x x is all real numbers and the domain of g x 1 x is all real numbers except for x 0. The example below shows two different ways that a function can be represented.

The domain is the set of all possible x values which will make the function work and will output real y values. Let the constant function be f x k. When the function f x x2 is given the values x 1 2 3 then the domain is simply those values 1 2 3 domain range and codomain.

The domain of the function is all of the x values horizontal axis that will give you a valid y value output. The set of possible y values is called the range. The domain and range of a function is all the possible values of the independent variable x for which y is defined.