Respuesta :
Given:
The relation S is:
[tex]S=\{(4,9),(-9,4),(0,-9),(6,6)\}[/tex]
To find:
The domain and range of S.
Solution:
If a relation is defined by the set of ordered pairs (x,y), then the domain is the set of x-values and range is the set of y-values.
Let R be a relation defined as [tex]R=\{(x,y):x\in R,y\in R\}[/tex], then [tex]Domain=\{x:x\in R\}[/tex] and [tex]Range=\{y:y\in R\}[/tex].
The given relation is:
[tex]S=\{(4,9),(-9,4),(0,-9),(6,6)\}[/tex]
Here, x-values are 4,-9,0,6 and the y-values are 9,4,-9,6.
So, the domain and range of the given relation S are
[tex]Domain=\{-9,0,4,6\}[/tex]
[tex]Range=\{-9,4,6,9\}[/tex]
Therefore, [tex]Domain=\{-9,0,4,6\}[/tex] and [tex]Range=\{-9,4,6,9\}[/tex].
