Question

Which set of ordered pairs represents a function? {(−1,−3),(0,−7),(3,3),(3,−4)} {(7,9),(−5,7),(−5,8),(4,−4)} {(−6,−1),(−8,4),(−5,4),(3,−9)} {(−1,0),(−1,−4),(8,−3),(−4,−6)}

Answer 1

Ordered pair{(−6,−1),(−8,4),(−5,4),(3,−9)} from the given set of ordered pairs represents the function.

As given in the question,

Given set of ordered pairs following is the one which represents the function :

• {(−1,−3),(0,−7),(3,3),(3,−4)}

In the given set of ordered pair for input value 3 there are two outputs 3 and -4 , therefore it is not a function.

• {(7,9),(−5,7),(−5,8),(4,−4)}

In the given set of ordered pair for input value -5 there are two outputs 7 and 8 , therefore it is not a function.

• {(−6,−1),(−8,4),(−5,4),(3,−9)}

In the given set of ordered pair each input has unique single output. Therefore it is a function.

• {(−1,0),(−1,−4),(8,−3),(−4,−6)}

In the given set of ordered pair for input value -1 there are two outputs 0 and -4 , therefore it is not a function.

Therefore, ordered pair{(−6,−1),(−8,4),(−5,4),(3,−9)}  from the given set of ordered pairs represents the function.

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