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The set of ordered pairs (0,1),(3,2),(3,-5),(5,4)represents a relation between x and y. Graph the set of ordered pairs. Determine whether the relation is a function. Explain.

Short Answer

Expert verified

The given relation is not a function.

Step by step solution

01

Step 1. Given.

The given ordered pairs{(0,1),(3,2),(3,−5),(5,4)}

02

Step 2. To Find.

We have to graph the given set of ordered pairs and then have to determine whether the relation is a function.

03

Step 3. Drawing Graph.

The graph of given ordered pairs is:

04

Step 4. Explanation.

A relation will be a function if each input value has only one output.

From the graph, we have atx=3⇒y=−5,2

It means at single input we have two outputs.

Therefore, the given relation is not a function.

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