Question

ill in the blanks below in order to justify whether or not the mapping shown represents a function.
the mapping diagram above
a function since
in
where there

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 mapping

Check elements in Set A:

• 1 maps to 7 (one output)
• 8 maps to 3 and -1 (two outputs)
• -3 maps to 0 (one output)

Step3: Apply function rule

Since element 8 in Set A has two distinct outputs in Set B, the mapping violates the function definition.

Answer:

The mapping diagram above is not a function since there exists an element in Set A where there are two different corresponding elements in Set B (specifically, the element 8 maps to both 3 and -1).