State the domain and range of the relation. Determine whether the relation represents a function. $$ \{(-4,-4),(0,0),(4,4)\} $$

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Let's analyze the relation $$ \{(-4, -4), (0, 0), (4, 4)\} $$ to determine its **domain**, **range**, and whether it represents a **function**.

### Domain
The **domain** of a relation consists of all the first elements (inputs) of the ordered pairs.

- From the given relation: 
  - The first elements are $$-4$$, $$0$$, and $$4$$.

**Domain:** $$\{-4,\, 0,\, 4\}$$

### Range
The **range** of a relation consists of all the second elements (outputs) of the ordered pairs.

- From the given relation:
  - The second elements are $$-4$$, $$0$$, and $$4$$.

**Range:** $$\{-4,\, 0,\, 4\}$$

### Function Verification
A **relation** is a **function** if every element in the domain is associated with exactly one element in the range. In other words, no input (first element) is paired with more than one output (second element).

- Examining the relation:
  - $$-4$$ is paired with $$-4$$
  - $$0$$ is paired with $$0$$
  - $$4$$ is paired with $$4$$

Each input has only one corresponding output.

**Conclusion:** The relation **is** a function.

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**Summary:**
- **Domain:** $$\{-4,\, 0,\, 4\}$$
- **Range:** $$\{-4,\, 0,\, 4\}$$
- **Function:** Yes, it represents a function.
**Domain:** $$\{-4,\, 0,\, 4\}$$ **Range:** $$\{-4,\, 0,\, 4\}$$ **Function:** Yes, it represents a function.

State the domain and range of the relation. Determine whether the relation represents a function. \( \{(-4,-4),(0,0),(4,4)\} \)

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