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# 8 CCSSM FUNCTIONS

### 8th MATH FUNCTIONS COMMON CORE - COMPLETE

Term | Definition |
---|---|

function | a relation in which every domain value is paired with exactly one range value; the out put depends on the input |

x-value | The horizontal value in a pair of coordinates: how far along the point is. This is always written first part of a pair of coordinates. |

vertical line test | a test to determine whether a relation is a function. If any vertical line passes through no more than one point of the graph of a relation, then the relation is a function. |

input | a value that is substituted for the independent variable in a relation or function (the number on which a function operates) |

output | the result of substituting a value for a variable in a function |

rate of change | how steep functions go up or down from the initial value a measure of how quickly something changes. |

linear function | an equation whose graphs is a non vertical line; a function that can be written as y = mx + b where x = the independent variable, and m and b are real numbers. |

non-linear function | creates a graph that is not a straight line |

linear relationship | when two variables or quantities are proportionate to one another. As one variable changes, there is a constant rate of change in another variable. In a graphic representation, this is a straight line that passes through data points based on the slope an |

slope | a measure of the steepness of a line; the ratio of the rise to the run as you move from one point to another along a line |

initial value | where functions start |

y-intercept | the y coordinate(s) of the point(s) where a graph intercepts the y-axis |

y-value | The vertical value in a pair of coordinates, always written second in an ordered pair of coordinates |

x-intercept | the x coordinate(s) of the point(s) where a graph intercepts the x-axis |