Question
What is the largest value of x that would make the following list of a points not a function? [Click Here for Help Video](1 point){(, 15), (6, 22), (15, 24)}
Answers
GPT-4o mini
To determine the largest value of \( x \) that would make the list of points not represent a function, we need to identify if any \( x \) values are repeated among the points. A relation is not a function if at least one \( x \) value corresponds to more than one \( y \) value.
Looking at the provided points:
1. \( ( , 15) \)
2. \( (6, 22) \)
3. \( (15, 24) \)
There seems to be an issue with the first point, as it is incomplete. However, we can still analyze the \( x \) values:
- The \( x \) value from the second point is \( 6 \).
- The \( x \) value from the third point is \( 15 \).
Assuming the first point represents an input that is unspecified or blank, we can't conclude much about it concerning functions.
For the list of points to be a function, each \( x \) value must be unique. In this case:
- Assuming that \( ( , 15) \) corresponds to a specific \( x \) value, it needs to be defined.
- If the \( x \) value for the first point is any number other than \( 6 \) or \( 15 \), they remain unique.
- If the \( x \) value from the first point were \( 6 \) or \( 15 \), it would create a conflict since those values already exist in the other two ordered pairs, making it not a function.
If we designate \( x = 15 \) or \( x = 6 \) for the first point, it loses the function property.
Thus, the largest \( x \) value, assuming the first point is only a place-holder for consideration:
- If \( x \) were \( 15 \) or \( 6 \), the list would not be a function.
Therefore, it follows:
- The largest specific \( x \) value resulting in the points not being a function is \( 15 \).
Looking at the provided points:
1. \( ( , 15) \)
2. \( (6, 22) \)
3. \( (15, 24) \)
There seems to be an issue with the first point, as it is incomplete. However, we can still analyze the \( x \) values:
- The \( x \) value from the second point is \( 6 \).
- The \( x \) value from the third point is \( 15 \).
Assuming the first point represents an input that is unspecified or blank, we can't conclude much about it concerning functions.
For the list of points to be a function, each \( x \) value must be unique. In this case:
- Assuming that \( ( , 15) \) corresponds to a specific \( x \) value, it needs to be defined.
- If the \( x \) value for the first point is any number other than \( 6 \) or \( 15 \), they remain unique.
- If the \( x \) value from the first point were \( 6 \) or \( 15 \), it would create a conflict since those values already exist in the other two ordered pairs, making it not a function.
If we designate \( x = 15 \) or \( x = 6 \) for the first point, it loses the function property.
Thus, the largest \( x \) value, assuming the first point is only a place-holder for consideration:
- If \( x \) were \( 15 \) or \( 6 \), the list would not be a function.
Therefore, it follows:
- The largest specific \( x \) value resulting in the points not being a function is \( 15 \).