Question

fill in the blanks below in order to justify whether or not the mapping shown represents a function.
set a set b
-2→7
-4→9
-4→-1
0→-1
answer attempt 1 out of 2
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) maps to exactly one element in the codomain (Set B).

Step2: Analyze the mapping

Check each element in Set A:

• $-2$ maps to $9$ (one output)
• $-4$ maps to $7$ and $-1$ (two outputs)
• $0$ maps to $-1$ (one output)

Step3: Apply the definition

Since the element $-4$ in Set A has two distinct outputs in Set B, the mapping violates the function rule.

Answer:

The mapping diagram above is not a function since there exists an element in Set A where there are two different elements in Set B mapped to it