Is this relation a function? $$ \{(-3,-8),(3,-5),(9,-1),(4,-9)\} $$ $$ \square $$ Yes No

Question

UpStudy AI · Accepted Answer

Yes, the given relation is a **function**.

**Reasoning:**

A **function** is a relation in which each input (the first element of each ordered pair) is associated with exactly one output (the second element).

Let's examine the provided relation:
$$
\{(-3, -8),\ (3, -5),\ (9, -1),\ (4, -9)\}
$$

- **Input $$-3$$** is paired with output $$-8$$.
- **Input $$3$$** is paired with output $$-5$$.
- **Input $$9$$** is paired with output $$-1$$.
- **Input $$4$$** is paired with output $$-9$$.

Each input value is unique and is associated with only one output value. There are no repeated input values with different outputs. Therefore, this relation satisfies the definition of a function.

**Answer:**  
☑ **Yes**
The relation is a function.

Is this relation a function?

Yes
No

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Is this relation a function? Yes No