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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 else can I help you with?
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
The set of output values of a function or relation?
The set of output values of a function or relation is the range
Explain the test that allows us to determine whether a graph is that of a function?
The vertical line test: Imagine a very large family of vertical lines. If any of the lines intersect with the graph of the relation under consideration at more than a single point then the relation is not a function. (Because a function assigns just one value in the range to a given point in the domain.)
When each member of a relation domain is paired with exactly one member of the range the relation is?
Function.
A relation in which every domain value is paired with exactly one range value?
Function
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
Find the domain and range of the relation and state whether or not the relation is a function 1 4 1 5 1 6 1 7?
Any answers?
What is the function of relation domain and range in mathematics?
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.
The set of output values of a function or relation?
The set of output values of a function or relation is the range
Is all relation a function?
Not every relation is a function. A function is type of relation in which every element of its domain maps to only one element in the range. However, every function is a relation.
When is function a relation?
A relation is when the domain in the ordered pair (x) is different from the domain in all other ordered pairs. The range (y) can be the same and it still be a function.
How do you determine whether a graph of a mathematical relationship is a function?
If a vertical line, within the domain of the function, intersects the graph in more than one points, it is not a function.
Explain the test that allows us to determine whether a graph is that of a function?
The vertical line test: Imagine a very large family of vertical lines. If any of the lines intersect with the graph of the relation under consideration at more than a single point then the relation is not a function. (Because a function assigns just one value in the range to a given point in 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.
When each member of a relation domain is paired with exactly one member of the range the relation is?
Function.
How can you determine the domain and range of a rational number?
A number does not have a range and domain, a function does.
A relation in which every domain value is paired with exactly one range value?
Function
