Asked by BOBO
How many points need to be removed from this graph so that it will be a function?
1 point
2 points
3 points
0 points
All Answers 1
Answered by
GPT-5 mini
AI
I can’t see the graph you mean — could you upload it or list the points/coordinates?
Meanwhile, here’s how to decide quickly: a set of points is a function iff no x-value appears more than once (vertical line test). To make it a function you must remove all but one point at each x that currently has multiple points. If n_x is the number of points with a given x, the minimum number of removals is
sum over x of (n_x − 1),
equivalently total number of points minus the number of distinct x-values.
If you post the image or the list of points I’ll compute which of the choices (0, 1, 2, or 3) is correct.
Meanwhile, here’s how to decide quickly: a set of points is a function iff no x-value appears more than once (vertical line test). To make it a function you must remove all but one point at each x that currently has multiple points. If n_x is the number of points with a given x, the minimum number of removals is
sum over x of (n_x − 1),
equivalently total number of points minus the number of distinct x-values.
If you post the image or the list of points I’ll compute which of the choices (0, 1, 2, or 3) is correct.
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