anonymous
  • anonymous
i know its not a function i just don't know how to explain why {(–5, –5), (3, 10), (7, 14), (3, 9)}
Mathematics
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katieb
  • katieb
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Mertsj
  • Mertsj
A function is a set of ordered pairs in which no two ordered pairs have the same first number. Since you have two ordered pairs with the same first number, it cannot be a function.
anonymous
  • anonymous
thanks :)
Directrix
  • Directrix
I think about a function as a relation having the distinction of no two-timing x values. In the slang of "two-timing," no x is unfaithful to its y. If the x of 3 is paired with 10, then it would not "two-time" 10 and pair again with 9 and be a member of an ordered pair associated with a function. The x of 3 in this relation did "two-time" so the entire set of ordered pairs cannot be termed as a function.

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anonymous
  • anonymous
A definition of a function is that "for every x, there is a unique y". For x=3, there are two y values, 10 and 9, so y is not "unique"

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