To determine whether the relation is a function, let's analyze the mapping from Input to Output.

Definition of a Function:

A relation is a function if each input is mapped to exactly one output. In other words, no input value should be associated with more than one output value.

Given Relation Analysis:

• Input -2 maps to 7.
• Input 5 maps to 7 and 14.
• Input 9 maps to 14.
• Input 11 maps to 22.

Observations:

The input 5 is mapped to 7 and 14. This violates the definition of a function because an input value cannot have more than one output. Therefore, this relation is not a function.

Correct Selection:

• "The relation is not a function, because 5 is mapped to more than one output value."

Would you like further clarification on functions, or have any questions? Here are some related queries for practice:

1. What is the difference between a function and a relation?
2. How can you verify whether a set of points is a function?
3. What is the vertical line test, and how does it work to identify functions?
4. Can a function have the same output for different inputs?
5. What are examples of real-world relationships that are functions?

Tip: Always check if each input has only one output when identifying functions!