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Is the following relation a function? *

{(-3, 2), (1, 8), (-1, 5), (3, 11)}
Yes
No
Why or why not?

1 Answer

4 votes

Answer:

No.

Explanation:

Well at first glance it might seem so but there are two points particularly that can tell you that these points cannot be within a function.

The points (3,2) and (3,-2) will yield an undefined slope (a straight vertical line). There is no possibility that the other points can be in this line (as their y - values are different) and there is no possibilty that this is a function at all according to the vertical line test (the test is that if you draw a vertical line that there shouldn't be more than one point on it).

User Andrea Silvestri
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