Question

determine whether the relation is a function.
h = {(9, -5), (8, -5), (7, -5), (6, -5), (5, -5)}
does the given relation represent a function?
no
yes

Explanation:

Step1: Recall function definition

A relation is a function if every input (x-value) has exactly one output (y-value).

Step2: Analyze x-values in H

List all x-values: $9, 8, 7, 6, 5$. Each x-value is unique.

Step3: Verify output uniqueness

Each x-value maps to only one y-value ($-5$), so no x-value has multiple outputs.

Answer:

Yes