Questions: Determine if it’s a function or not Relation 3 (z, m),(s, m),(b, s),(m, m) Function Not a function

Solution Steps

To determine if a relation is a function, check if each input (first element of each pair) maps to exactly one output (second element). If any input maps to more than one output, it is not a function.

The given relation is \(\{(z, m), (s, m), (b, s), (m, m)\}\). Each pair \((x, y)\) consists of an input \(x\) and an output \(y\).

To determine if this relation is a function, verify that each input maps to exactly one output.

• Input \(z\) maps to \(m\).
• Input \(s\) maps to \(m\).
• Input \(b\) maps to \(s\).
• Input \(m\) maps to \(m\).

Each input in the relation maps to a single, unique output. There are no inputs that map to multiple outputs.

Final Answer