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There can be any number: from 1 to uncountably infinite.

Q: How many elements are in the range of the function?

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Mapping Diagram

A relation where each element of the domain is paired with only one element of the range is a one to one function. A one to one function may also be an onto function if all elements of the range are paired.

Each element in the domain must be mapped to one and only one element in the range. If that condition is satisfied then the mapping (or relationship) is a function. Different elements in the domain can be mapped to the same element in the range. Some elements in the range may not have any elements from the domain mapped to them. These do not matter for the mapping to be a function. They do matter in terms of the function having an inverse, but that is an entirely different matter. As an illustration, consider the mapping from the domain [-10, 10] to the range [-10, 100] with the mapping defined by y = x2.

As shown, the function has neither range nor domain.

range TPate

Related questions

mapping diagram

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.

Mapping Diagram

It is the function for which all the elements of the range of the function corresponds to exactly one element of the domain.

A relation where each element of the domain is paired with only one element of the range is a one to one function. A one to one function may also be an onto function if all elements of the range are paired.

Each element in the domain must be mapped to one and only one element in the range. If that condition is satisfied then the mapping (or relationship) is a function. Different elements in the domain can be mapped to the same element in the range. Some elements in the range may not have any elements from the domain mapped to them. These do not matter for the mapping to be a function. They do matter in terms of the function having an inverse, but that is an entirely different matter. As an illustration, consider the mapping from the domain [-10, 10] to the range [-10, 100] with the mapping defined by y = x2.

For every element on the domain, the relationship must allocate a unique element in the codomain (range). Many elements in the domain can be mapped to the same element in the codomain but not the other way around. Such a relationship is a function.

A relation is a mapping between two sets, a domain and a range. A function is a relationship which allocates, to each element of the domain, exactly one element of the range although several elements of the domain may be mapped to the same element in the range.

The answer, for y as a function of x, depends on the range of y. Over the real numbers, it is not a function because a function cannot be one-to-many. But it is always possible to define the domain and range in such a way that the mapping in not one-to-many.

As shown, the function has neither range nor domain.

The range, usually of a function, is the set of value that the function can take. The integral range is a subset of the range consisting of integer values that the function can take.

It is a function that allows you to count the amount of blank cells in a range. So if you want to count how many cells were in the range from A2 to A20, the function would be as follows: =COUNTBLANK(A2:A20)