Which of the following relations is a function?
(0,4), (-3, 2), (8, 1), (-8, 2)
(0,4), (-3, 6), (0, 3), (-8, 2)
(8,1), (-3, 4), (0, 1), (8, 2)
(0,0), (-3, 3), (8, 1), (-3, 5)
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A function cannot have the same x value over its domain.
ANY OF THem have duplicate x parts? pinky got excited on that one
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needing the answer is one thing; finding the answer is another
having the same x value is allowed as long as it retains the same y value each time :)
no no first one is the answer
first one might not be the answer on the next one tho, so we really need a better way to determine these things :)
the first one is a function. The others are not because if you fix an x-value, you get more than one y value associated with it. In the second, x=0 has 3 and 4 associated with it. In the third, x=8 has 1 and 2 associated with it. In the the fourth, x=-3 has 3 and 5 associated with it. A function is a relation where one x value has a unique y-value associated with it. Note you can have two x-values associated with one y-value, like in f(x) = x^2