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I have the problem {(2,4), (3,2), (4,6), (5,4)} 

Its states: Determine whether each relation is a function

 

I have no clue what a function is and in Algebra 1 I've googles like crazy and am still if not even more confused can someone please explain what a function does. And If there is a formula involved. Thank you so much in advance. 

 Oct 15, 2014

Best Answer 

 #1
avatar+23254 
+8

A function can have only one y-value for each x-value.

That is there can be only one point of the type (2,_) and only one point of the type (3,_), and only one point of the type (4,_), and only one point of the type (5_).

I will give you an example of something which is not a function:  { (2,4), (3,2), (4,6), (3,5), (5,4) }.

This is not a function because there are two points that are of the type (3,_).  In a function, each x-value can be used only once; you can't have both (3,2) and (3,5).

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However, the y-value can be used more than once; this is a function:  { (2,4), (3,6), (4,2), (5,4), (6,4)}.

The y-values can be used as often as wanted -- but each x-value can be used only once.

 Oct 15, 2014
 #1
avatar+23254 
+8
Best Answer

A function can have only one y-value for each x-value.

That is there can be only one point of the type (2,_) and only one point of the type (3,_), and only one point of the type (4,_), and only one point of the type (5_).

I will give you an example of something which is not a function:  { (2,4), (3,2), (4,6), (3,5), (5,4) }.

This is not a function because there are two points that are of the type (3,_).  In a function, each x-value can be used only once; you can't have both (3,2) and (3,5).

------------------------

However, the y-value can be used more than once; this is a function:  { (2,4), (3,6), (4,2), (5,4), (6,4)}.

The y-values can be used as often as wanted -- but each x-value can be used only once.

geno3141 Oct 15, 2014

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