Question
Which of the following shows a function?(1 point)
Responses
{ (0, -4) (2, 7) (0, 4) (1, 9) (3, 7)}
{ (0, -4) (2, 7) (0, 4) (1, 9) (3, 7)}
Skip to navigation
Responses
{ (0, -4) (2, 7) (0, 4) (1, 9) (3, 7)}
{ (0, -4) (2, 7) (0, 4) (1, 9) (3, 7)}
Skip to navigation
Answers
GPT-4o mini
A relation is considered a function if each input (or x-value) is associated with exactly one output (or y-value).
Given the set of points:
{ (0, -4), (2, 7), (0, 4), (1, 9), (3, 7) }
The x-values are 0, 2, 0, 1, and 3. The x-value 0 is associated with two different y-values: -4 and 4. Because the same x-value corresponds to multiple y-values, this set does not represent a function.
Therefore, this set does **not** show a function.
Given the set of points:
{ (0, -4), (2, 7), (0, 4), (1, 9), (3, 7) }
The x-values are 0, 2, 0, 1, and 3. The x-value 0 is associated with two different y-values: -4 and 4. Because the same x-value corresponds to multiple y-values, this set does not represent a function.
Therefore, this set does **not** show a function.