Question

fill in the blanks below in order to justify whether or not the mapping shown represents a function. set a has 3, 6, 9. set b has -1, 1, 2, -3. arrows: 3→1, 6→1, 6→2, 9→2, 9→-3

Explanation:

Step1: Recall function definition

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

Step2: Analyze the given mapping

Check each element in Set A:

• Element 3 maps to 1 (one output)
• Element 6 maps to 2 (one output)
• Element 9 maps to -3 (one output)

Every element in Set A has exactly one output in Set B.

Answer:

The mapping represents a function, because every element in Set A (the domain) is mapped to exactly one element in Set B (the codomain), which satisfies the definition of a function.