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Which set of points does NOT represent a function?

A) (−2,1),(6,3),(5,1),(−4,6)
B) (−7,3),(1,2),(5,3),17,2)
C) (−4,−3),(−1,2),(0.5),(3,2)
D) (−5,−1),(−2,−1),(1,−1),(4,−1)

User Gstrauss
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1 Answer

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Final answer:

To identify which set of points does not represent a function, look for a repeated x-coordinate with different y-coordinates; however, due to a typo in option B, it cannot be definitively declared to not represent a function without further clarification.

Step-by-step explanation:

The student has asked which set of points does NOT represent a function. Recall that for a set of points to represent a function, each input value (or x-coordinate) must correspond to exactly one output value (or y-coordinate). So, we look for a set where an x-coordinate is paired with more than one y-coordinate.

  • A) −(2,1),(6,3),(5,1),(−4,6) — Here, no x-coordinate is repeated. This set does represent a function.
  • B) (−7,3),(1,2),(5,3),(1,7,2) — There is a typo in the last point which renders it incomprehensible. It likely should represent a proper point, but without correction, it does not mistake this set for a function.
  • C) (−4,−3),(−1,2),(0,5),(3,2) — Like set A, each x-coordinate in this set is unique. This set does represent a function.
  • D) (−5,−1),(−2,−1),(1,−1),(4,−1) — All points have different x-coordinates with the same y-coordinate. This set also represents a function.

Considering that option B has an illegible point, it cannot be determined if this option represents a function or not. Hence, without a correction to option B, none of the listed point sets can be definitively identified as not representing a function due to a typo in option B.

User Brymck
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