The domain is the set of values of the input while the range is the set of output values.
It is a relationship from one set to another, which is not a function.
A relation is a mapping or pairing of input values with output values.
Suppose a function takes values of a variable, X, as its input, and that it converts it into an output value Y.Then the graph of the function, in the X-Y coordinate plane, is the set of all points (x, y) such that when you input the value x into the function, the output is y.Suppose a function takes values of a variable, X, as its input, and that it converts it into an output value Y.Then the graph of the function, in the X-Y coordinate plane, is the set of all points (x, y) such that when you input the value x into the function, the output is y.Suppose a function takes values of a variable, X, as its input, and that it converts it into an output value Y.Then the graph of the function, in the X-Y coordinate plane, is the set of all points (x, y) such that when you input the value x into the function, the output is y.Suppose a function takes values of a variable, X, as its input, and that it converts it into an output value Y.Then the graph of the function, in the X-Y coordinate plane, is the set of all points (x, y) such that when you input the value x into the function, the output is y.
The set of output values of a function or relation is the range
The x-values in a set of points
The domain tells you information about the set of values that the input of the function takes, while the range tells you information about the set of values that the output of the function takes. This allows you to graph the function and/or to understand how it behaves.
The Range is the set of all possible output values of a function or relation.
The domain is the set of all input values, the range is the set of all output values. It is not possible to be more specific when you have not included any details of the functions.
A function may be defined over only certain values. That is, it may have only a certain set of values that can serve as input. For example, in elementary mathematics, the principal square root is only defined for non-negative real numbers. This is the "area" over which the function is valid and so it is called the domain. The mathematical term for the set of output values is actually the co-domain, but many people refer to it as the range.
This is true. If a given input value yields four output values that relationship can be best described as a relation.
A relation doesn't have an "output value", in the sense that a function does. A set of values is either part of the relation, or it isn't.