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Subjects>Math>Math & Arithmetic

Can the domain and range be represented by one number?

Anonymous

∙ 12y ago

Updated: 9/22/2023

Yes.

Wiki User

∙ 12y ago

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Q: Can the domain and range be represented by one number?

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Is it ever possible for the domain and range in a function to have different numbers of entries for example 3 domain entries to 5 range entries or 2 range entries to 7 domain entries?

Yes. The range can have fewer number of entries.As an extreme case, consider f(x) = 3, where x is a Real number.The domain is all Real numbers - infinitely many of them, while the range is one value: 3.A function can contain one-to-one or many-to-one relationships but one-to-many relationships are not permitted. As a result, the cardinality of the range cannot be bigger than the cardinality of the domain.

How does one find the range of a radical function?

You need to know the domain in order to find the range.

Describe what it means for a function to be one to one?

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

Which relation are function relation?

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.

What is function and relation?

All functions are relations with the condition that each element of the domain is paired with only one element of the range. A relation is any pairing of numbers from the domain to the range.

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Related Questions

Is it ever possible for the domain and range in a function to have different numbers of entries for example 3 domain entries to 5 range entries or 2 range entries to 7 domain entries?

Yes. The range can have fewer number of entries.As an extreme case, consider f(x) = 3, where x is a Real number.The domain is all Real numbers - infinitely many of them, while the range is one value: 3.A function can contain one-to-one or many-to-one relationships but one-to-many relationships are not permitted. As a result, the cardinality of the range cannot be bigger than the cardinality of the domain.

What is the domain and range of y equals the square root of four minus x squared?

The domain and the range depends on the context. For example, the domain and the range can be the whole of the complex field. Or I could define the domain as {-2, 1, 5} and then the range would be {0, 3, -21}. When either one of the range and domain is defined, the other is implied.

Is it in a relation for each element of the domain there is only one corresponding element in the range?

Is it true that in a relation for each element of the domain there is only one corresponding element in the range

How do you find the domain?

The domain of a function, is the range of input values which will give you a real answer.For example the domain of x+1 would be all real numbers as any number plus 1 will be another real numberThe domain of x0.5 would be all positive numbers as the answer to square root of a negative number is not realNote:x0.5 means the square root of x* * * * *Not quite. A function is a one-to-one or many-to-one mapping from a set S to a set T (which need not be a different set). A function can be one whose domain is all the cars parked in a street and the range is the second character of their registration number.A mathematical function can have the complex field as its domain and range, so a real answer is not a necessary requirement for a function.

Is it true in a relation for each element of the domain there is only one corresponding element in the range?

Is it true that in a relation for each element of the domain there is only one corresponding element in the range

Can the members of the domain be in the members of the range and be a function?

Yes, the domain must correspond to only one member of the range in order to be a function in a member of the domain goes to more than one member of the range it then is a relation and not a function A function is a relation but a relation isnt always a function

What is the example of the range and domain in a function?

A function is a mapping from one set to another. It may be many-to-one or one-to-one. The first of these sets is the domain and the second set is the range. Thus, for each value x in the domain, the function allocates the value f(x) which is a value in the range. For example, if the function is f(x) = x^2 and the domain is the integers in the interval [-2, 2], then the range is the set [0, 1, 4].

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

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

How does one find the range of a radical function?

You need to know the domain in order to find the range.

Is the relation a function Why or why not (3 1) (3 0) (3 4) (3 8)?

No it is not. The number 3, in the domain, gets mapped to more than one number in the range.

Describe what it means for a function to be one to one?

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

Which relation are function relation?

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.

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