Q50. - Algebra 1

Question

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

Step-by-Step Solution

Answer

The given relation is not a function.

Step 1. Given.

The given ordered pairs $\left\{\right(0,1),(3,2),(3,-5),(5,4\left)\right\}$

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.

Step 3. Drawing Graph.

The graph of given ordered pairs is:

Step 4. Explanation.

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

From the graph, we have at $x=3\Rightarrow y=-5,2$

It means at single input we have two outputs.

Therefore, the given relation is not a function.