Questions: Relation 2 Domain Range -9 lake -1 star -7 lake 8 star -9 pen Function Not a function Relation 4 (x, 1),(m, 1),(g, 1),(j, 1) Function Not a function

Determine whether Relation 2 is a function or not.

Definition of a function

A relation is a function if each element in the domain maps to exactly one element in the range. In other words, no domain element can map to multiple range elements.

Analyze Relation 2

Relation 2 has the following mappings:

• \(-9\) maps to "lake"
• \(-1\) maps to "star"
• \(-7\) maps to "lake"
• \(8\) maps to "star"
• \(-9\) maps to "pen"

Here, the domain element \(-9\) maps to both "lake" and "pen," which violates the definition of a function.

\(\boxed{\text{Not a function}}\)

Determine whether Relation 4 is a function or not.

Definition of a function

A relation is a function if each element in the domain maps to exactly one element in the range.

Analyze Relation 4

Relation 4 is given as \(\{(x, 1),(m, 1),(g, 1),(j, 1)\}\). Each domain element (\(x\), \(m\), \(g\), \(j\)) maps to exactly one range element (\(1\)). This satisfies the definition of a function.

\(\boxed{\text{Function}}\)

\(\boxed{\text{Not a function}}\)
\(\boxed{\text{Function}}\)