Question
Which of the following mapping diagrams shows a relation that is not a function?(1 point)
Responses
Two vertical ovals side by side. One is labeled Domain, while the other is labeled Range.
Image with alt text: Two vertical ovals side by side. One is labeled Domain, while the other is labeled Range. The values are 0 pointing to 1 and 1 , 6 pointing to 3 , and 8 pointing to 4
Two vertical ovals side by side. One is labeled Domain, while the other is labeled Range.
Image with alt text: Two vertical ovals side by side. One is labeled Domain, while the other is labeled Range. The values are 2 pointing to 2 , 4 pointing to 1 , 6 pointing to 4 , and 8 pointing to 4
Two vertical ovals side by side. One is labeled Domain, while the other is labeled Range.
Image with alt text: Two vertical ovals side by side. One is labeled Domain, while the other is labeled Range. The values are 13 pointing to 11 , 2 pointing to 22 and 3 , and 7 pointing to 14
Two vertical ovals side by side. One is labeled Domain, while the other is labeled Range.
Image with alt text: Two vertical ovals side by side. One is labeled Domain, while the other is labeled Range. The values are 8 pointing to 4 , 0 pointing to 0 , 1 pointing to 0 , and 7 pointing to 3
Responses
Two vertical ovals side by side. One is labeled Domain, while the other is labeled Range.
Image with alt text: Two vertical ovals side by side. One is labeled Domain, while the other is labeled Range. The values are 0 pointing to 1 and 1 , 6 pointing to 3 , and 8 pointing to 4
Two vertical ovals side by side. One is labeled Domain, while the other is labeled Range.
Image with alt text: Two vertical ovals side by side. One is labeled Domain, while the other is labeled Range. The values are 2 pointing to 2 , 4 pointing to 1 , 6 pointing to 4 , and 8 pointing to 4
Two vertical ovals side by side. One is labeled Domain, while the other is labeled Range.
Image with alt text: Two vertical ovals side by side. One is labeled Domain, while the other is labeled Range. The values are 13 pointing to 11 , 2 pointing to 22 and 3 , and 7 pointing to 14
Two vertical ovals side by side. One is labeled Domain, while the other is labeled Range.
Image with alt text: Two vertical ovals side by side. One is labeled Domain, while the other is labeled Range. The values are 8 pointing to 4 , 0 pointing to 0 , 1 pointing to 0 , and 7 pointing to 3
Answers
GPT-4o mini
To determine which of the given mapping diagrams represents a relation that is not a function, we need to look for cases where a single element in the domain maps to more than one element in the range.
1. **First diagram:**
- 0 maps to 1 and 1.
- 6 maps to 3.
- 8 maps to 4.
- Each input has a unique output. This is a function.
2. **Second diagram:**
- 2 maps to 2.
- 4 maps to 1.
- 6 maps to 4.
- 8 maps to 4 (note that both 6 and 8 output the same value).
- Each input has a unique output. This is a function.
3. **Third diagram:**
- 13 maps to 11.
- 2 maps to 22 and 3 (note that 2 maps to two different outputs).
- 7 maps to 14.
- The input 2 maps to two outputs, so this is **not a function**.
4. **Fourth diagram:**
- 8 maps to 4.
- 0 maps to 0.
- 1 maps to 0 (note that both 0 and 1 output the same value).
- 7 maps to 3.
- Each input has a unique output. This is a function.
Therefore, the third mapping diagram shows a relation that is **not a function**.
1. **First diagram:**
- 0 maps to 1 and 1.
- 6 maps to 3.
- 8 maps to 4.
- Each input has a unique output. This is a function.
2. **Second diagram:**
- 2 maps to 2.
- 4 maps to 1.
- 6 maps to 4.
- 8 maps to 4 (note that both 6 and 8 output the same value).
- Each input has a unique output. This is a function.
3. **Third diagram:**
- 13 maps to 11.
- 2 maps to 22 and 3 (note that 2 maps to two different outputs).
- 7 maps to 14.
- The input 2 maps to two outputs, so this is **not a function**.
4. **Fourth diagram:**
- 8 maps to 4.
- 0 maps to 0.
- 1 maps to 0 (note that both 0 and 1 output the same value).
- 7 maps to 3.
- Each input has a unique output. This is a function.
Therefore, the third mapping diagram shows a relation that is **not a function**.