Question

look at this mapping diagram:
domain
-5
12
range
20
14
-6
is this relation a function?
yes no

Explanation:

Step1: Recall the definition of a function

A function is a relation where each element in the domain is mapped to exactly one element in the range. In other words, no element in the domain can have more than one corresponding element in the range.

Step2: Analyze the given mapping diagram

In the domain, we have two elements: \(-5\) and \(12\). Now, look at the element \(12\) in the domain. From the mapping diagram, \(12\) is mapped to \(20\), \(14\), and \(-6\). This means that the element \(12\) in the domain is associated with more than one element in the range.

Answer:

no