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It is a bijection [one-to-one and onto].

Q: What is the correspondence of the domain and range of a linear function?

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The range is the y, while the domain is the x.

The function is a simple linear function and so its nature does not limit the domain or range in any way. So the domain and range can be the whole of the real numbers. If the domain is a proper subset of that then the range must be defined accordingly. Similarly, if the range is known then the appropriate domain needs to be defined.

Any function is a mapping from a domain to a codomain or range. Each element of the domain is mapped on to a unique element in the range by the function.

A relation is a mapping from elements of one set, called the domain, to elements of another set, called the range. The function of the three terms: relation, domain and range, is to define the parameters of a mapping which may or may not be a function.

Use the function to find the image of each point in the domain. The set of values that you get will be the range. If the function is well behaved, you will not have to try each and every value in the domain.

Related questions

The range is the y, while the domain is the x.

The function is a simple linear function and so its nature does not limit the domain or range in any way. So the domain and range can be the whole of the real numbers. If the domain is a proper subset of that then the range must be defined accordingly. Similarly, if the range is known then the appropriate domain needs to be defined.

Any function is a mapping from a domain to a codomain or range. Each element of the domain is mapped on to a unique element in the range by the function.

The domain and range are two different sets associated with a relationship or function. There is not a domain of a range.

The domain of a function is the set of values for which the function is defined.The range is the set of possible results which you can get for the function.

The domain of the function 1/2x is {0, 2, 4}. What is the range of the function?

The domain is a subset of the values for which the function is defined. The range is the set of values that the function takes as the argument of the function takes all the values in the domain.

A number does not have a range and domain, a function does.

Domain is a set in which the given function is valid and range is the set of all the values the function takes

The domain and range of the composite function depend on both of the functions that make it up.

The inverse of the inverse is the original function, so that the product of the two functions is equivalent to the identity function on the appropriate domain. The domain of a function is the range of the inverse function. The range of a function is the domain of the inverse function.

There are two sets for any given function, the domain and the range. The range is the set of outputs and the set of inputs is the domain.