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.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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!