SOLUTION: Determine whether the relation {(3,2),(4,5),(-3,5),(-4,2)} is a function.

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Question 174846This question is from textbook
: Determine whether the relation {(3,2),(4,5),(-3,5),(-4,2)} is a function.This question is from textbook

Answer by Edwin McCravy(6931) About Me  (Show Source):
You can put this solution on YOUR website!
Determine whether the relation {(3,2),(4,5),(-3,5),(-4,2)} is a function

Yes it is a function because the four first 
coordinates 3,4,-3, and -4 are all different.

(Note: It doesn't matter that the second 
coordinates 2,5,5, and 2 are not all different. 
Only all the first coordinates must be different
in order for a relation to be a function)

The graph consists of these 4 points:

drawing%28400%2C400%2C-6%2C6%2C-6%2C6%2C+grid%281%29%2C+%0D%0Acircle%283%2C2%2C.1%29%2C%0D%0Acircle%283%2C2%2C.05%29%2C+%0D%0Acircle%284%2C5%2C.1%29%2C%0D%0Acircle%284%2C5%2C.05%29%2C+%0D%0Acircle%28-3%2C5%2C.1%29%2C%0D%0Acircle%28-3%2C5%2C.05%29%2C+%0D%0Acircle%28-4%2C2%2C.1%29%2C%0D%0Acircle%28-4%2C2%2C.05%29%2C+%0D%0Acircle%283%2C2%2C.15%29%2C%0D%0Acircle%283%2C2%2C.125%29%2C+%0D%0Acircle%284%2C5%2C.15%29%2C%0D%0Acircle%284%2C5%2C.125%29%2C+%0D%0Acircle%28-3%2C5%2C.15%29%2C%0D%0Acircle%28-3%2C5%2C.125%29%2C+%0D%0Acircle%28-4%2C2%2C.15%29%2C%0D%0Acircle%28-4%2C2%2C.125%29+%0D%0A%0D%0A%0D%0A%29 

Notice that no point is directly above or
below any other point.  That is how you
can tell by looking at a graph whether
the relation is a function.  If any point
is directly above or below any other point,
then the relation is not a function.

Edwin