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
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
Solution
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