Questions: Determine the domain and the range of the relation, and tell whether the relation is a function. [ (11,4),(20,-7),(42,4),(11,5),(57,5) ] The domain is . (Use a comma to separate answers as needed. Type each answer only once.) The range is . (Use a comma to separate answers as needed. Type each answer only once.) Is this relation a function? Yes No

Determine the domain and the range of the relation, and tell whether the relation is a function.
[
(11,4),(20,-7),(42,4),(11,5),(57,5)
]

The domain is  . (Use a comma to separate answers as needed. Type each answer only once.)
The range is  . (Use a comma to separate answers as needed. Type each answer only once.)
Is this relation a function?
Yes
No
Transcript text: Determine the domain and the range of the relation, and tell whether the relation is a function. \[ \{(11,4),(20,-7),(42,4),(11,5),(57,5)\} \] The domain is $\square$ \}. (Use a comma to separate answers as needed. Type each answer only once.) The range is $\{\square$ $\square$ \}. (Use a comma to separate answers as needed. Type each answer only once.) Is this relation a function? Yes No
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Solution

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Solution Steps

Step 1: Determining the Domain

The domain of the given relation is the set of all first elements from the ordered pairs. Thus, the domain is \(\{11, 20, 42, 57\}\).

Step 2: Determining the Range

The range of the given relation is the set of all second elements from the ordered pairs. Thus, the range is \(\{-7, 4, 5\}\).

Step 3: Checking if the Relation Represents a Function

The relation does not represent a function because there exists at least one input (domain element) that is associated with more than one output (range element).

Final Answer:

Domain: \(\{11, 20, 42, 57\}\), Range: \(\{-7, 4, 5\}\), Is Function: No

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