Questions: The relation R is defined by the ordered pairs listed below. R=(2,-3),(-9,12),(2,-6),(4,-16),(-9,6) The domain of R is The range of R is Is R a function? No, the relation is not a function Yes, the relation is a function

The relation R is defined by the ordered pairs listed below. R=(2,-3),(-9,12),(2,-6),(4,-16),(-9,6) The domain of R is The range of R is Is R a function? No, the relation is not a function Yes, the relation is a function
Transcript text: The relation $R$ is defined by the ordered pairs listed below. \[ R=\{(2,-3),(-9,12),(2,-6),(4,-16),(-9,6)\} \] The domain of $R$ is $\square$ The range of $R$ is $\square$ Is $R$ a function? No, the relation is not a function Yes, the relation is a function
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Solution

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Solution Steps

Step 1: Finding the Domain

The domain of \(R\) is the set of all first elements in each ordered pair. Thus, the domain of \(R\) is \{ -9, 2, 4 \}.

Step 2: Finding the Range

The range of \(R\) is the set of all second elements in each ordered pair. Thus, the range of \(R\) is \{ -16, -6, -3, 6, 12 \}.

Step 3: Determining if \(R\) is a Function

Since there is at least one element in the domain that corresponds to more than one element in the range, \(R\) does not represent a function.

Final Answer:

The given set \(R\) does not represent a function. However, it has a domain \{{ {domain_str} \}} and a range \{{ {range_str} \}}.

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