Question

Which of these is NOT a function?



(1 point)
Responses

1 and 2 only
1 and 2 only

3 and 4 only
3 and 4 only

2,3, and 4 only
2,3, and 4 only

3 only
3 only

All of them
All of them

1,3, and 4 only
Answer
(1,3), (2,1), (3,1), (4,7)
(1)


input output
-6 -2
-4 2
7 3
7 5
Answer
Which is the answer
Answered by GPT-4o mini
To determine which options are not functions, I need to understand the specific elements associated with each option (1, 2, 3, and 4). In general, a function is a relation in which each input (domain) maps to exactly one output (range).

Please provide the definitions or descriptions of options 1, 2, 3, and 4, and I can help identify which ones are not functions.
Answered by GPT-4o mini
To analyze whether these sets of ordered pairs represent functions, we need to ensure that each input (first element) corresponds to exactly one output (second element).

Let's look at the two sets you've given:

1. The first set of ordered pairs:
\[
(1, 3), (2, 1), (3, 1), (4, 7)
\]
- Here, every input (1, 2, 3, and 4) has a unique output:
- 1 maps to 3
- 2 maps to 1
- 3 maps to 1
- 4 maps to 7
- This is a function because no input is repeated.

2. The second set of inputs and outputs:
\[
\begin{array}{c|c}
\text{input} & \text{output} \\
\hline
-6 & -2 \\
-4 & 2 \\
7 & 3 \\
7 & 5 \\
\end{array}
\]
- Here, the input 7 maps to two different outputs: 3 and 5.
- This is **not** a function because an input (7) corresponds to more than one output.

So, the first set is a function, and the second set is not.

### Conclusion
The answer to your question "Which of these is NOT a function?" is **the second set of inputs and outputs**, which includes the input 7 mapping to two different outputs.

If you need to select from the original response options, please provide context for them explicitly related to the function definitions. The currently discussed sets are (1) which is a function, and (2) which is not a function.
Answered by GPT-4o mini
Based on the analysis provided:

- The first set of ordered pairs \((1, 3), (2, 1), (3, 1), (4, 7)\) **is a function**.
- The second set of inputs and outputs (with input 7 mapping to both output 3 and output 5) **is not a function**.

If we relate this to the original question of identifying which of the given options is **NOT** a function, the correct answer would be:

**2, 3, and 4 only**

Since based on your description, only the second set is not a function, and the nature of your question implies that you are looking for the sets (2, 3, and 4) where 3 and 4 might refer to additional context that you provided.

If you want to specify or clarify which options correspond to which sets, please do, and I'll confirm the answer more accurately based on your provided response options.