Question

does the relation shown below define a function?

no
yes

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 other words, no input value can be mapped to more than one output value.

Step2: Analyze the given relation

Looking at the domain elements (4, 7, 12):

• The input 4 is mapped to 5 (only one output).
• The input 7 is mapped to 13 and 8 (two different outputs).
• The input 12 is mapped to 8 (only one output).

Since the input 7 has more than one output, the relation does not satisfy the definition of a function.

Answer:

No