Question

1

Essay
5 points



Question at position 1
List out the ordered pairs from the mapping diagram.



List out the ordered pairs from the mapping diagram.









p




Question at position 2
2

Essay
5 points



Question at position 2
Indicate whether the relation a function or not a function. Justify your answer.

Answer 1

To provide a proper answer, I would need to see the specific mapping diagram referenced in your question in order to list the ordered pairs and determine if the relation is a function. However, I can guide you through how to analyze a mapping diagram and then answer the questions.

### Question 1: List the Ordered Pairs

1. **Identify the Elements:**
From the mapping diagram, identify the domain elements (input values) and the corresponding range elements (output values).

2. **Form the Ordered Pairs:**
Pair each input value from the domain with its corresponding output value from the range. These pairs are denoted as (input, output).

#### Example:
If the mapping diagram shows:
- A maps to 1
- B maps to 2
- C maps to 2
- D maps to 3

Then the ordered pairs would be:
- (A, 1)
- (B, 2)
- (C, 2)
- (D, 3)

### Question 2: Is the Relation a Function? Justify Your Answer.

1. **Definition of a Function:**
A relation is a function if each input (or element from the domain) maps to exactly one output (or element from the range). No input can map to more than one output.

2. **Evaluation:**
- Look at the ordered pairs you listed.
- Check if any element from the domain (the first element in each ordered pair) is repeated with different output values.

#### Example:
From the ordered pairs in Example 1:
- A → 1 (unique)
- B → 2 (unique)
- C → 2 (same as B but allowed)
- D → 3 (unique)

Since B and C both map to the same output (2), this still qualifies as a function. However, if there were a pair like (B, 2) and (B, 3), it would not be a function.

### Conclusion:
- If any domain element is associated with more than one range element, then the relation is **not a function**; otherwise, it is a **function**.

Please check the specific mapping diagram you have, list the ordered pairs explicitly, and analyze whether each input has a unique output to complete your assignment. If you have any specific pairs or further details, feel free to share!