From the graph, notice that a set of four points are given.
The points are:
[tex](-2,-3),(-2,2),(1,3),(2,-3)[/tex]
Recall that a relation that assigns to each element x in the domain set exactly one element y from the range set is called a function.
Notice from the points that the x-value -2 is mapped to two y-values -3 and 2. Since an element is not mapped to a unique element y in the range, it follows that the relation given by the graph is not a function.
A discrete graph is one with scattered points. Since the given graph contains scattered points, it follows that the graph is discrete.
The Domain is the set of x-values. Hence, the domain is the set:
[tex]\mleft\lbrace-2,1,2\mright\rbrace[/tex]
The Range is the set of y-values. Hence, the range is the set:
[tex]\mleft\lbrace-3,2,3\mright\rbrace[/tex]
Answers:
The graph does not represent a function (No).
The graph is discrete.
The domain is {-2,1,2}
The range is {-3,2,3}
