cs of Functions and Jheir Crephs Determine whether the relation is a function. Give the domain and the range of the relation. $$ \{(2,3),(2,6),(9,3),(9,6)\} $$

Question

UpStudy AI · Accepted Answer

To determine whether the given relation is a function, let's analyze its properties.

**Given Relation:**
$$ \{(2,3), (2,6), (9,3), (9,6)\} $$

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

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

- **Examination:**
  - The input **2** is associated with two different outputs: **3** and **6**.
  - The input **9** is also associated with two different outputs: **3** and **6**.

Since some inputs correspond to multiple outputs, the relation **does not** satisfy the definition of a function.

### **2. Domain and Range of the Relation**

Regardless of whether the relation is a function, we can identify its domain and range.

- **Domain:** The set of all first elements (inputs) in the ordered pairs.
  $$ \text{Domain} = \{2, 9\} $$

- **Range:** The set of all second elements (outputs) in the ordered pairs.
  $$ \text{Range} = \{3, 6\} $$

### **Conclusion**

- **Function:** The relation **is not** a function.
- **Domain:** $$\{2, 9\}$$
- **Range:** $$\{3, 6\}$$

Answer:

No, this relation is not a function because some inputs have multiple outputs. 
• Domain = { 2, 9 } 
• Range = { 3, 6 }
The relation is not a function because some inputs have multiple outputs. • Domain: {2, 9} • Range: {3, 6}

cs of Functions and Jheir Crephs Determine whether the relation is a function. Give the domain and the range of the relation. \( \{(2,3),(2,6),(9,3),(9,6)\} \)

Real Tutor Solution

Answer

Solution

Mind Expander

Related Questions

Latest Pre Algebra Questions