Question: Identifying functions from relations Relation 1 - Domain: \( k \) - Range: \( -2, 9, 2,…

Identifying functions from relations

Relation 1

• Domain: \( k \)
• Range: \( -2, 9, 2, -6, 7 \)

Relation 2

• Domain: \( t \)
• Range: \( v, t, d \)

Relation 3

• Domain: \( x, y, r \)
• Range: lake

Relation 4

• Domain: \( -2, 9, 1, 9, -7 \)
• Range: \( -9, -7, 8, 8, -5 \)

Function

• Not a function

Solution

To determine if a relation is a function, each element in the domain must map to exactly one element in the range. Relation 1: - Domain: \( k, y, l, e \) - Range: Each domain element maps to one unique range element. - Conclusion: It \textbf{is a function}. Relation 2: - Domain: \( l \) - Range: \( l \) maps to multiple range elements. - Conclusion: It is \textbf{not a function}. Relation 3: - Domain: \( x, y, z \) - Range: Each domain element maps to the same range element “lake” but still only one unique output. - Conclusion: It \textbf{is a function}. Relation 4: - Domain: \( -2, 9 \) - Range: \( 9 \) maps to multiple range elements. - Conclusion: It is \textbf{not a function}.