Question

The set of ordered pairs represented by the graph below can be described as which of the following

a relation only

a function only

both a relation and function

neither a relation or function

Answer 1

Answer: First option.

Explanation:

By definition, a relation is a function if each input value (value of "x") has only one output value (value of "y").

In the figure you can observe that each x-coordinate has more than one y-coordinate. Then, since each input value (value of "x") does not have only one output value (value of "y"), you can say that it is not a function, but a relation only.

Therefore, the conclusion is:

The set of ordered pairs represented by the graph, can be described as a relation only.

Answer 2

a relation only

EXPLANATION

The given graph shown in the attachment represents only a relation and not a function.

The reason is that, a vertical line drawn across this graph will intersect this graph at more than one point.

Since the graph fails to pass the vertical line test, the ordered pair represented by this graph represents a relation only.