There are two ways of describing, or specifying the members of, a set. One way is by intensional definition, using a rule or semantic description. See this example:
A is the set whose members are the first four positive integers.
B is the set of colors of the French flag.
The second way is by extension, that is, listing each member of the set. An extensional definition is notated by enclosing the list of members in braces:
C = {4, 2, 1, 3}
D = {blue, white, red}
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A formula or graph are two ways to describe a math function. How a math function is described depends on the domain of the function or the complexity of the function.
There are two ways of describing, or specifying the members of, a set. One way is by intensional definition, using a rule or semantic description:A is the set whose members are the first four positive integers.B is the set of colors of the French flag.The second way is by extension - that is, listing each member of the set. An extensional definition is denoted by enclosing the list of members in curly brackets:C = {4, 2, 1, 3}D = {blue, white, red}.