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Chapter 8: Q20. (page 404)

Tell whether the relation represented by the graph is a function.

Short Answer

Expert verified

The relation represented by the graph isnot a function.

Step by step solution

01

Step 1. Given Information.

A graph of a relation:

02

Step 2. Calculation.

We know that a relationship will be a function, when each input in the domain has exactly one specific corresponding output.

That is for a relation to be a function, one x-value cannot have two y-values, while two x-values can have same y-value.

Upon looking at our given graph, we can see that for x=0,1and 2, there are two corresponding y-values.

03

Step 3. Conclusion.

Since there are two outputs for one input, therefore, the given relation is not a function.

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