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QUESTION IMAGE

fill in the blanks below in order to justify whether or not the mapping…

Question

fill in the blanks below in order to justify whether or not the mapping shown represents a function.

Explanation:

Brief Explanations

A function is a mapping where each element in the domain (Set A) has exactly one corresponding element in the codomain (Set B). Looking at the mapping:

  • The element 3 in Set A maps only to 1 in Set B.
  • The element 6 in Set A maps only to -3 in Set B.
  • The element 9 in Set A maps only to 2 in Set B.

Every element in Set A has one and only one output in Set B, so this meets the definition of a function.

Answer:

The mapping represents a function. Each element in Set A is mapped to exactly one element in Set B, which satisfies the definition of a function.