SOLUTION: 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,

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): You can put this solution on YOUR website!

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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