Question

multiple-choice question does this mapping diagram show a function? yes no

Explanation:

Step1: Recall the definition of a function

A function is a relation where each input (element in the domain) has exactly one output (element in the codomain). In a mapping diagram, we check each element in the left - hand set (domain) to see how many arrows come out of it.

Step2: Analyze each element in the domain

• For the element \(2\) in the domain (left - hand oval), we can see that it has only one arrow (mapping) to the codomain (right - hand oval).
• For the element \(4\) in the domain, it has only one arrow.
• For the element \(8\) in the domain, it has only one arrow.
• For the element \(9\) in the domain, it has only one arrow.

Since every element in the domain (the set \(\{2,4,8,9\}\)) is mapped to exactly one element in the codomain (the set \(\{1,2,4,11\}\)), the mapping diagram satisfies the definition of a function.

Answer:

Yes