Question

Which of the following sets of ordered pairs represents a function?
A.
{(-8,-14), (-7,-12), (-6,-10), (-5,-8)}
B.
{(-4,-14), (-9,-12), (-6,-10), (-9,-8)}
C.
{(8,-2), (9,-1), (10,2), (8,-10)}
D.
{(-8,-6), (-5,-3), (-2,0), (-2,3)}

Answer 1

The sets of ordered pairs that represents a function is {(-8,-14), (-7,-12), (-6,-10), (-5,-8)}

Function and relation

For a relation to be a function, the independent variable must not be repeated.

From the given coordinate points, you can see that the coordinates B, C and D are not functions since some of the independent variables are repeated.

Hence the sets of ordered pairs that represents a function is {(-8,-14), (-7,-12), (-6,-10), (-5,-8)}

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