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# SOL 8.17

### Relations and Functions

Question | Answer |
---|---|

What is definition of a relation? | Any set of ordered pairs (x,y) for each first member (x-domain) there may be many second members (y-range) EX: {(1,2)(1,3)(2,2)(2,3)} |

What is definition of domain? | The set of all input values for the independent variable (x) in a given situation |

What is the domain of : {(1,2)(1,3)(2,2)(2,3)} | Domain {1,2} |

What is the definition of range? | The set of all output values for the dependent variable(y) in a given situation |

What is the range of {(1,2)(1,3)(2,2)(2,3)}? | Range {2,3} |

What is the definition of a function? | A relation in which there is one and only one second member for each first member |

The independent variable is refer to as what value? | input or the x-value |

The dependent variable is refer to as what value | output or the y-value |

Can you repeat the domain in a function? | . No. |

Can you repeat the range in a function? | Yes. |

Which variable is refer to as the independent variable in y=2x+3? | X |

Which variable is refer to as the dependent variable y=4x-2? | Y |

Which variable is refer to as the input value y=2x+3? | X |

Which variable is refer to as the output value y=4x-2 ? | Y |

What is the definition of rule? | relate elements in two sets can be represented by word sentences, equations, tables of values, graphs, or illustrated pictorially. |

Is this a function {(3,2), (3,1), (3,3)}? Why? | No, not a function because for every x there not just one y. |

Is this a function {(1,2)(1,3)(1,4)(1,5)}? Why? | No, it is a function because there is more than one y for each x |

Is this a function {(2,2)(3,2)(4,1)(5,1)}? Why? | Yes it is a function because the y-value of 2 goes with the x-values 2 and 3. The y-value 1 goes with x-values 4 and 5 or the x-values do not repeat. |