Questions: Find the domain and the range of the relation. Determine whether the relation is a function.
(-5,5),(6,5),(-5,1),(-6,-9)
Transcript text: Find the domain and the range of the relation. Determine whether the relation is a function.
\[
\{(-5,5),(6,5),(-5,1),(-6,-9)\}
\]
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 \(\{-6, -5, 6\}\).
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 \(\{-9, 1, 5\}\).
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: \(\{-6, -5, 6\}\), Range: \(\{-9, 1, 5\}\), Is Function: No