Questions: For each relation, decide whether or not it is a function.
Relation 1
Domain
Range
Function
Not a function
Relation 2
Function
Not a function
Relation 3
(n, b),(n, g),(n, y),(n, n)
Function
Not a function
Relation 4
(9, g),(-4, h),(2, j),(-1, n)
Function
Not a function
Transcript text: For each relation, decide whether or not it is a function.
Relation 1
Domain
Range
Function
Not a function
Relation 2
Function
Not a function
Relation 3
\[
\{(n, b),(n, g),(n, y),(n, n)\}
\]
Function
Not a function
Relation 4
\[
\{(9, g),(-4, h),(2, j),(-1, n)\}
\]
Function
Not a function
Solution
Solution Steps
Step 1: Analyze Relation 1
The table does not provide specific domain and range values for Relation 1. Without this information, it is impossible to determine whether Relation 1 is a function or not.
Step 2: Analyze Relation 2
The table does not provide specific domain and range values for Relation 2. Without this information, it is impossible to determine whether Relation 2 is a function or not.
Step 3: Analyze Relation 3
Relation 3 is given as \(\{(n, b),(n, g),(n, y),(n, n)\}\).
A relation is a function if each element in the domain maps to exactly one element in the range.
Here, the domain element \(n\) maps to multiple range elements (\(b\), \(g\), \(y\), and \(n\)).