SOLUTION: Which of the following relations is a function? (8, 1), (-4, 4), (4, 1), (8, 2) (4, 4), (-4, 6), (4, 3), (-7, 2) (4, 4), (-4, 2), (8, 1), (-7, 2) (4, 0)

Algebra ->  Functions -> SOLUTION: Which of the following relations is a function? (8, 1), (-4, 4), (4, 1), (8, 2) (4, 4), (-4, 6), (4, 3), (-7, 2) (4, 4), (-4, 2), (8, 1), (-7, 2) (4, 0)      Log On


   



Question 1000824: Which of the following relations is a function?
(8, 1), (-4, 4), (4, 1), (8, 2)
(4, 4), (-4, 6), (4, 3), (-7, 2)
(4, 4), (-4, 2), (8, 1), (-7, 2)
(4, 0), (-4, 3), (8, 1), (-4, 5)

Answer by MathLover1(20850) About Me  (Show Source):
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Function: A function is a set of ordered pairs in which each x-element has only ONE y-element associated with it.
(8, 1), (-4, 4), (4, 1), (8, 2)=>
the x-element 8 is paired with a y-element of 1 and also a y-element of 2
so,the relation shown above is NOT a function


(4, 4), (-4, 6), (4, 3), (-7, 2)
the x-element 4 is paired with a y-element of 4 and also a y-element of 3
so,the relation shown above is NOT a function



(4, 4), (-4, 2), (8, 1), (-7, 2)
none of the x-element is paired with a more than one y-element;so,the relation shown above IS a function


(4, 0), (-4, 3), (8, 1), (-4, 5)
the x-element -4 is paired with a y-element of 3 and also a y-element of 5
so,the relation shown above is NOT a function