Question
Determine whether the relation is a function. Give the domain and the range for the relation. \( \{(4,3),(5,4),(9,9)\} \) Is this a function? No Yes The domain is \( \{\square\} \). The a comma to separate answers as needed.) The is \( \{\square\} \). (Use comma to separate answers as needed.)
Ask by Savage Fleming. in the United States
Mar 13,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Is this a function? Yes
The domain is \( \{4,5,9\} \).
The range is \( \{3,4,9\} \).
Solution
1. A relation is a function if each element in the domain is paired with exactly one element in the range. In the given relation, the first elements (the inputs) are \(4\), \(5\), and \(9\), and each appears only once. Therefore, the relation is a function.
2. The domain is the set of all first components:
\[
\{4,5,9\}
\]
3. The range is the set of all second components:
\[
\{3,4,9\}
\]
Thus, the answers are:
Is this a function? Yes
The domain is \( \{4,5,9\} \).
The range is \( \{3,4,9\} \).
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Mind Expander
Yes, this is a function because each input (the first element of each ordered pair) maps to exactly one output (the second element). In this case, the domain consists of all the first elements, which are \( \{4, 5, 9\} \). The range consists of the second elements, which are \( \{3, 4, 9\} \). The domain is \( \{4, 5, 9\} \). The range is \( \{3, 4, 9\} \).