Question

Mathematics

Which table represents a function?

-1 | -2 |

-1 | -1 |

0 | 0 |

2 | 1 |

2 | 2 |

-2 | 0 |

-1 | 1 |

0 | 1 |

-1 | 2 |

-2 | 2 |

2 | -2 |

1 | -1 |

0 | 0 |

1 | 1 |

2 | 2 |

-2 | -1 |

-1 | -1 |

0 | 0 |

1 | 1 |

2 | 2 |

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Best Answer

A function is a set of ordered pairs in which no two ordered pairs have the same value of the first coordinate, but different values of the second coordinate. This means that for a given , there can only be one corresponding .

Out of the given tables, only the second table represents a function, because for each unique value of , there is only one corresponding value of .

In the other tables, there are repeated values with different corresponding values, which means they do not represent a function. Specifically, in the first table, there are two ordered pairs with but different values. In the third and fourth tables, there are two ordered pairs with the same and different values.

Out of the given tables, only the second table represents a function, because for each unique value of

In the other tables, there are repeated