Question

the mapping diagram above represents a function since in where there

Explanation:

Step1: Recall the definition of a function

A function is a relation where each input (from the domain, the pink oval here) has exactly one output (in the codomain, the blue oval here).

Step2: Analyze the mapping

• Input \( 4 \) maps to \( -1 \)
• Input \( -4 \) maps to \( 2 \)
• Input \( 9 \) maps to \( 8 \)

Each input (4, -4, 9) has exactly one output. There is no input with more than one output.

Answer:

The mapping diagram above represents \(\boldsymbol{\text{a function}}\) since in \(\boldsymbol{\text{the domain (the pink oval)}}\) where there \(\boldsymbol{\text{each input has exactly one output}}\).