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A relation is not good enough. We take a transformation, or map, call it M, between any two sets, A and B. Denoted M: A ---> B.
Set A is the domain, B is called the co-domain. The set of all elements in B that is a map of A, or with a minor abuse of notation, the set M(A) is called the range.
So, if you take a map M from human, A, to animals, B. For each person, we say M(person) = The person's pet. It's a perfectly fine map, or relation. Then, the domain is all human, the co-domain is the animals, and the range is all animals that are also pets.
Range is ALWAYS a subset of the co-domain.
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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 the range of y equals 8x-3?
11
What is the range of the function y x2 2x 4.?
The range depends on the domain. If the domain is the complex field, the range is also the whole of the complex field. If the domain is x = 0 then the range is 4.
Y equals 3x what is the domain and range?
domain: (-infinity to infinity) range: ( -infinity to infinity)
What are the domain and range of y equals 12?
The domain would be (...-2,-1,0,1,2...); the range: (12)
What is the domain of the range?
The domain and range are two different sets associated with a relationship or function. There is not a domain of a range.
What is a diagram that shows the relationship of elements in the domain to the range of a function?
Mapping Diagram
A diagram that sHow is the relationship of elements in the domain to elements in the range of a function?
mapping diagram
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 meant by the domain and range of a relation?
A relationship is a way of associating members of one set to members of another set (the two sets could be the same). The first of these sets is the domain and the second is the range.
How do you determined if a relation is a function?
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.
How do you graph range and domain?
You do not graph range and domain: you can determine the range and domain of a graph. The domain is the set of all the x-values and the range is is the set of all the y-values that are used in the graph.
What is domain and range of Area of a circle with radius r pirsquare?
The domain and range are (0, infinity).Both the domain and the range are all non-negative real numbers.
Are the domain and range values of a sequence positive integers?
The domain is, but the range need not be.
How can you determine the domain and range of a rational number?
A number does not have a range and domain, a function does.
How would you use domain and range to determine whether a relation is a function?
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.
What is the range of y equals 8x-3?
11
