Question 699348: Determine whether the relation is a function...
{(-2,-7),(3,-5),(6,-4),(9,-6),(10,-1)}
and
{(-5,-4),(-2,9),(-1,-2),(-1,7)}
and
{(-7,-1),(-7,2),(-1,8),(3,3),(10,-7)}
and
{(1,-3),(1,1),(6,-8),(9,-3),(11,-3)}
and
{(-6,-9),(-2,1),(1,-1),(7,-7)}
Answer by MathLover1(20850)   (Show Source):
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There are different ways to remember if a relation is a function, when given sets of points. Relationship in which a given input value always produces exactly one output value. Several inputs can have the same output,  a    have     .
A function is a set of ordered pairs in which each  has only   associated with it.
the best method to use is to make sure the  do not repeat:
{(-2,-7),(3,-5),(6,-4),(9,-6),(10,-1)}
If you look these pairs, there are no  's repeating; so, this  a function
and
{(-5,-4),(-2,9),( ,-2),(,7)}
there are 's repeating;so, the relation shown above is  a function because the is paired with a  of  and also a y-element of 
and
{( ,-1),(,2),(-1,8),(3,3),(10,-7)}
there are 's repeating;so, the relation shown above is a function because the is paired with a of and also a y-element of 
and
{( ,-3),(,1),(6,-8),(9,-3),(11,-3)}
there are 's repeating;so, the relation shown above is a function because the is paired with a of  and also a y-element of
and
{(-6,-9),(-2,1),(1,-1),(7,-7)}
there are no 's repeating; so, this a function
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