Question

relation 2
domain range
sky → 0
tree → 9
pencil → 4
cloud → 4
onding to each relation that represents a function

Explanation:

To determine if a relation is a function, we use the definition: a function is a relation where each element in the domain is paired with exactly one element in the range.

Step 1: Analyze each domain element

• Domain: sky → Range: \( 0 \) (only one range value).
• Domain: tree → Range: \( 9 \) (only one range value).
• Domain: pencil → Range: \( 4 \) (only one range value).
• Domain: cloud → Range: \( 4 \) (only one range value).

In this relation, every domain element (sky, tree, pencil, cloud) is mapped to exactly one range element. Thus, this relation satisfies the definition of a function.

Answer:

This relation is a function because each domain element (sky, tree, pencil, cloud) is paired with exactly one range element.