Question

Review the graph. Is it a function? Yes or no. Is it continuous or discrete? What is the domain? What is the range? (Please see attachment for graph and questions.

Answer 1

From the graph, notice that a set of four points are given.

The points are:

`(-2,-3),(-2,2),(1,3),(2,-3)`

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:

`\mleft\lbrace-2,1,2\mright\rbrace`

The Range is the set of y-values. Hence, the range is the set:

`\mleft\lbrace-3,2,3\mright\rbrace`

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}