Question

4.
is this relation a function?
circle one: yes or no
explain how you know your answer above is correct:

Explanation:

Step1: Recall function definition

A function is a relation where each input (from the domain) has exactly one output (in the codomain).

Step2: Analyze the relation

• Input \(a\) maps to \(1\) (one output).
• Input \(b\) maps to \(2\) (one output).
• Input \(c\) maps to \(2\) and \(3\) (two outputs).

Since input \(c\) has more than one output, the relation does not satisfy the function definition.

In a function, each input must have exactly one output. Here, input \(c\) maps to both \(2\) and \(3\), so it is not a function.

Answer:

NO