Determine whether the relation is a function. Give the domain and range for the relation. $$ \{(4,7),(4,8),(4,9)\} $$ The domain of the relation is $$ \} $$. (Use a comma to separate answers as needed.)

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To determine whether the given relation is a function, and to identify its domain and range, let's analyze the relation step by step.

**Given Relation:**
$$
\{(4, 7), (4, 8), (4, 9)\}
$$

### **1. Is the Relation a Function?**

A **function** is a relation where **each element in the domain is associated with exactly one element in the range**.

- **Domain:** The set of all first elements in the ordered pairs.
- **Range:** The set of all second elements in the ordered pairs.

**Analysis:**
- The number **4** in the domain is associated with **three different values** in the range: 7, 8, and 9.

**Conclusion:**
- Since the input **4** maps to multiple outputs (7, 8, and 9), **this relation is **_not_** a function**.

### **2. Domain and Range**

- **Domain:** The set of all first elements.
  $$
  \text{Domain} = \{4\}
  $$
  
- **Range:** The set of all second elements.
  $$
  \text{Range} = \{7, 8, 9\}
  $$

### **Summary:**

- **Is it a function?** No
- **Domain:** $$ 4 $$
- **Range:** $$ 7, 8, 9 $$
The relation is not a function. The domain is {4}, and the range is {7, 8, 9}.

Determine whether the relation is a function. Give the domain and range for the relation. \( \{(4,7),(4,8),(4,9)\} \) The domain of the relation is \( \} \). (Use a comma to separate answers as needed.)

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