Questions: Determine whether the relation is a function, and give the domain and range.

Determine whether the relation is a function, and give the domain and range.
Transcript text: Determine whether the relation is a function, and give the domain and range.
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Solution

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Solution Steps

Step 1: Analyze the Relation

A relation is a function if each input has only one corresponding output. In this diagram, the numbers in the left oval represent the input values (domain), and the numbers in the right oval represent the output values (range). We can see that the input '11' corresponds to the output '18', and the input '7' corresponds to the output '12'. However, the input '25' corresponds to _both_ '18' and '12'.

Step 2: Determine if the Relation is a Function

Since the input '25' has two different outputs ('18' and '12'), this relation is not a function.

Step 3: Identify Domain and Range

The domain is the set of all input values. In this case, the domain is {7, 11, 25}. The range is the set of all output values. Here, the range is {12, 18}.

Final Answer

Is this relation a function? \(\boxed{\text{No}}\) Domain: \(\boxed{\{7, 11, 25\}}\) Range: \(\boxed{\{12, 18\}}\)

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