QUESTION IMAGE
Question
fill in the blanks below in order to justify whether or not the mapping shown represents a function. set a set b 1 → 6 0 → -1 3 → 2 answer attempt 1 out of 5 the mapping diagram above dropdown a function
Step1: Recall the definition of a function
A function is a relation where each element in the domain (Set A here) is mapped to exactly one element in the codomain (Set B here).
Step2: Check each element in Set A
- For element \( 1 \) in Set A, it is mapped to \( 6 \) in Set B (only one mapping).
- For element \( 0 \) in Set A, it is mapped to \( -1 \) in Set B (only one mapping).
- For element \( 3 \) in Set A, it is mapped to \( 2 \) in Set B (only one mapping).
Since every element in Set A has exactly one corresponding element in Set B, the mapping satisfies the definition of a function.
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The mapping diagram above \(\boldsymbol{\text{represents}}\) a function.